Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
26101	Find the Derivative of the Integral	integral of sin(h(x)^6)cos(h(x)) with respect to x	$\int \sinh ({(x)}^{6}) \cosh (x) d x$
26102	Find the Derivative of the Integral	integral of x/( square root of a+bx) with respect to x	$\int \frac{x}{\sqrt{a + b x}} d x$
26103	Find the Derivative of the Integral	integral of sin(2x)^4cos(2x)^2 with respect to x	$\int \sin^{4} (2 x) \cos^{2} (2 x) d x$
26104	Find the Derivative of the Integral	integral of x^2e^(2x) with respect to x	$\int x^{2} e^{2 x} d x$
26105	Find the Derivative of the Integral	integral of x^2e^(-2x) with respect to x	$\int x^{2} e^{- 2 x} d x$
26106	Find the Derivative of the Integral	integral of square root of 4-2t with respect to t	$\int \sqrt{4 - 2 t} d t$
26107	Find the Derivative of the Integral	integral of square root of tan(x) with respect to x	$\int \sqrt{\tan (x)} d x$
26108	Find the Derivative of the Integral	integral of cube root of 8-9x^2(-18x) with respect to x	$\int \sqrt[3]{8 - 9 x^{2}} (- 18 x) d x$
26109	Find the Derivative of the Integral	integral of cube root of at with respect to t	$\int \sqrt[3]{a t} d t$
26110	Find the Derivative of the Integral	integral from cube root of x to 2pi of cos(t^3) with respect to t	$\int_{\sqrt[3]{x}}^{2 π} \cos (t^{3}) d t$
26111	Find the Derivative of the Integral	integral of xe^( square root of x) with respect to x	$\int x e^{\sqrt{x}} d x$
26112	Find the Derivative of the Integral	integral from 0 to pi/6 of sin(3x)^5 with respect to x	$\int_{0}^{\frac{π}{6}} \sin^{5} (3 x) d x$
26113	Find the Derivative of the Integral	integral from 0 to pi/4 of (sin(2x))/(1+cos(2x)^2) with respect to x	$\int_{0}^{\frac{π}{4}} \frac{\sin (2 x)}{1 + \cos^{2} (2 x)} d x$
26114	Find the Derivative of the Integral	integral of x^2e^(x^3) with respect to x	$\int x^{2} e^{x^{3}} d x$
26115	Find the Derivative of the Integral	integral of x^2-4 with respect to x	$\int x^{2} - 4 d x$
26116	Find the Derivative of the Integral	integral of x^3(5x^4+11)^9 with respect to x	$\int x^{3} {(5 x^{4} + 11)}^{9} d x$
26117	Find the Derivative of the Integral	integral of x^3(x^4+16)^6 with respect to x	$\int x^{3} {(x^{4} + 16)}^{6} d x$
26118	Find the Derivative of the Integral	integral from x to x^2 of e^(t^7) with respect to t	$\int_{x}^{x^{2}} e^{t^{7}} d t$
26119	Find the Derivative of the Integral	integral from x to -0.8 of -9tan(t) with respect to t	$\int_{x}^{- 0.8} - 9 \tan (t) d t$
26120	Find the Derivative of the Integral	integral from p to -p of square root of cube root of x with respect to x	$\int_{p}^{- p} \sqrt{\sqrt[3]{x}} d x$
26121	Find the Derivative of the Integral	integral of sec(2x) with respect to x	$\int \sec (2 x) d x$
26122	Find the Derivative of the Integral	integral of cos(h(x)) with respect to x	$\int \cosh (x) d x$
26123	Find the Derivative of the Integral	integral of cot(x) with respect to x	$\int \cot (x) d x$
26124	Find the Derivative of the Integral	integral of sin(2x)cos(x)^2 with respect to x	$\int \sin (2 x) \cos^{2} (x) d x$
26125	Find the Derivative of the Integral	integral of sin(4x) with respect to x	$\int \sin (4 x) d x$
26126	Find the Derivative of the Integral	integral of sin(3y)+cos(2y) with respect to y	$\int \sin (3 y) + \cos (2 y) d y$
26127	Find the Derivative of the Integral	integral of sin(h(3t)) with respect to t	$\int \sinh (3 t) d t$
26128	Find the Derivative of the Integral	integral of (x*8)/9 with respect to x	$\int \frac{x \cdot 8}{9} d x$
26129	Find the Derivative of the Integral	integral of xsec(x)^2 with respect to x	$\int x \sec^{2} (x) d x$
26130	Find the Derivative of the Integral	integral of x(4x+5)^8 with respect to x	$\int x {(4 x + 5)}^{8} d x$
26131	Find the Derivative of the Integral	integral of xcos(x^2) with respect to x	$\int x \cos (x^{2}) d x$
26132	Find the Derivative of the Integral	integral of x-1 with respect to x	$\int x - 1 d x$
26133	Find the Derivative of the Integral	integral of xtan(x) with respect to x	$\int x \tan (x) d x$
26134	Find the Derivative of the Integral	integral of xcos(h(x^2)) with respect to x	$\int x \cosh (x^{2}) d x$
26135	Find the Derivative of the Integral	f(x) = integral of t-a with respect to x	$f (x) = \int t - a d x$
26136	Find the Derivative of the Integral	25p integral from 0 to 6 of (1-x/3)^2 with respect to x	$25 p \int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x$
26137	Find the Derivative of the Integral	d/((dx) integral from 0 to 5x^2 of t/(t+21) with respect to t)	$\frac{d}{(d x) \int_{0}^{5 x^{2}} \frac{t}{t + 21} d t}$
26138	Find the Derivative of the Integral	d/((dx) integral from x to 5 of square root of t^2-1 with respect to t)	$\frac{d}{(d x) \int_{x}^{5} \sqrt{t^{2} - 1} d t}$
26139	Find the Derivative of the Integral	integral of cos(x^3) with respect to x	$\int \cos (x^{3}) d x$
26140	Find the Derivative of the Integral	integral of cos(x)e^(sin(x)) with respect to x	$\int \cos (x) e^{\sin (x)} d x$
26141	Find the Derivative of the Integral	integral of cos(3x) with respect to x	$\int \cos (3 x) d x$
26142	Find the Derivative of the Integral	integral from -9 to 9 of square root of 81-x^2 with respect to x	$\int_{- 9}^{9} \sqrt{81 - x^{2}} d x$
26143	Find the Derivative of the Integral	integral of 9sin(x)^2cos(x)^3 with respect to x	$\int 9 \sin^{2} (x) \cos^{3} (x) d x$
26144	Find the Derivative of the Integral	integral of arctan(x) with respect to x	$\int \arctan (x) d x$
26145	Find the Derivative of the Integral	integral of 6x^5 with respect to x	$\int 6 x^{5} d x$
26146	Find the Derivative of the Integral	integral from -7 to 7 of square root of 49-x^2 with respect to x	$\int_{- 7}^{7} \sqrt{49 - x^{2}} d x$
26147	Find the Derivative of the Integral	integral of 8 with respect to x	$\int 8 d x$
26148	Find the Derivative of the Integral	integral of 8x+3 with respect to x	$\int 8 x + 3 d x$
26149	Find the Derivative of the Integral	integral of 5(t^2-5t-2) with respect to x	$\int 5 (t^{2} - 5 t - 2) d x$
26150	Find the Derivative of the Integral	integral of 5cos(3x) square root of sin(3x+4) with respect to x	$\int 5 \cos (3 x) \sqrt{\sin (3 x + 4)} d x$
26151	Find the Derivative of the Integral	integral from -6 to 6 of square root of 36-x^2 with respect to x	$\int_{- 6}^{6} \sqrt{36 - x^{2}} d x$
26152	Find the Derivative of the Integral	integral of 4 with respect to x	$\int 4 d x$
26153	Find the Derivative of the Integral	integral of 4e^x with respect to x	$\int 4 e^{x} d x$
26154	Find the Derivative of the Integral	integral of 40e^(-0.8t) with respect to t	$\int 40 e^{- 0.8 t} d t$
26155	Find the Derivative of the Integral	integral of 4sin(x)cos(x) with respect to x	$\int 4 \sin (x) \cos (x) d x$
26156	Find the Derivative of the Integral	integral of 3x^2(x^3-2)^5 with respect to x	$\int 3 x^{2} {(x^{3} - 2)}^{5} d x$
26157	Find the Derivative of the Integral	integral from 1 to 32 of fifth root of x with respect to x	$\int_{1}^{32} \sqrt[5]{x} d x$
26158	Find the Derivative of the Integral	integral of 2x square root of 7+x^2 with respect to x	$\int 2 x \sqrt{7 + x^{2}} d x$
26159	Find the Derivative of the Integral	integral of 2(2x+4)^5 with respect to x	$\int 2 {(2 x + 4)}^{5} d x$
26160	Find the Derivative of the Integral	integral from 2 to 1 of 6 square root of x-1/( square root of 2x) with respect to x	$\int_{2}^{1} 6 \sqrt{x} - \frac{1}{\sqrt{2 x}} d x$
26161	Find the Derivative of the Integral	integral of 14(x-5)^6 with respect to x	$\int 14 {(x - 5)}^{6} d x$
26162	Find the Derivative of the Integral	integral of 10x^9cos(x^10) with respect to x	$\int 10 x^{9} \cos (x^{10}) d x$
26163	Find the Derivative of the Integral	integral from 1 to 4 of f(x) with respect to x	$\int_{1}^{4} f (x) d x$
26164	Find the Derivative of the Integral	integral from 1 to 4 of 4/(3x) with respect to x	$\int_{1}^{4} \frac{4}{3 x} d x$
26165	Find the Derivative of the Integral	integral from 1 to 5 of x square root of 7x^2+3 with respect to x	$\int_{1}^{5} x \sqrt{7 x^{2} + 3} d x$
26166	Find the Derivative of the Integral	integral from 1 to 2 of ((2x-1)(3x+4))/x with respect to x	$\int_{1}^{2} \frac{(2 x - 1) (3 x + 4)}{x} d x$
26167	Evaluate the Integral	integral of 9csc(6x-2)^2 with respect to x	$\int 9 \csc^{2} (6 x - 2) d x$
26168	Evaluate the Integral	integral of 8y-3/(y^(1/5)) with respect to y	$\int 8 y - \frac{3}{y^{\frac{1}{5}}} d y$
26169	Find the 2nd Derivative	y = square root of x natural log of x	$y = \sqrt{x} \ln (x)$
26170	Evaluate the Integral	integral of a with respect to x	$\int a d x$
26171	Evaluate the Integral	integral of 6x^3(1+x^8)^-1 with respect to x	$\int 6 x^{3} {(1 + x^{8})}^{- 1} d x$
26172	Evaluate the Integral	integral of 9xsin(2x) with respect to x	$\int 9 x \sin (2 x) d x$
26173	Evaluate the Integral	integral of arctan(8x) with respect to x	$\int \arctan (8 x) d x$
26174	Evaluate the Integral	integral of arctan(x) natural log of x with respect to x	$\int \arctan (x) \ln (x) d x$
26175	Evaluate the Integral	integral of cos(x/20) with respect to x	$\int \cos (\frac{x}{20}) d x$
26176	Evaluate the Integral	integral of cos(3t) with respect to t	$\int \cos (3 t) d t$
26177	Evaluate the Integral	integral of cos(5x+1) with respect to x	$\int \cos (5 x + 1) d x$
26178	Evaluate the Integral	integral of csc(5x-3)cot(5x-3) with respect to x	$\int \csc (5 x - 3) \cot (5 x - 3) d x$
26179	Evaluate the Integral	integral from -pi/4 to (7pi)/4 of sin(x)+cos(x) with respect to x	$\int_{- \frac{π}{4}}^{\frac{7 π}{4}} \sin (x) + \cos (x) d x$
26180	Evaluate the Integral	integral of cos(x)cos(2x) with respect to x	$\int \cos (x) \cos (2 x) d x$
26181	Evaluate the Integral	integral of cos(x)cos(x) with respect to x	$\int \cos (x) \cos (x) d x$
26182	Evaluate the Integral	integral of sec(3x+5)tan(3x+5) with respect to x	$\int \sec (3 x + 5) \tan (3 x + 5) d x$
26183	Evaluate the Integral	integral of sec(6x)tan(6x) with respect to x	$\int \sec (6 x) \tan (6 x) d x$
26184	Evaluate the Integral	integral of sec(9x)tan(9x) with respect to x	$\int \sec (9 x) \tan (9 x) d x$
26185	Evaluate the Integral	integral of sin(2x)*cos(6x) with respect to x	$\int \sin (2 x) \cdot \cos (6 x) d x$
26186	Evaluate the Integral	integral of -sin(xe^(cos(x))) with respect to x	$\int - \sin (x e^{\cos (x)}) d x$
26187	Evaluate the Integral	integral of sin(8x)cos(3x) with respect to x	$\int \sin (8 x) \cos (3 x) d x$
26188	Find the Horizontal Tangent Line	f(x)=x^3+12x^2+8	$f (x) = x^{3} + 12 x^{2} + 8$
26189	Evaluate the Integral	integral of natural log of e^x with respect to x	$\int \ln (e^{x}) d x$
26190	Find the Absolute Max and Min over the Interval	f(x)=x^3-6x^2 , [0,8]	$f (x) = x^{3} - 6 x^{2}$ , $[0, 8]$
26191	Evaluate the Integral	integral of natural log of x^(1/3) with respect to x	$\int \ln (x^{\frac{1}{3}}) d x$
26192	Evaluate the Integral	integral of natural log of 6x with respect to x	$\int \ln (6 x) d x$
26193	Find the Horizontal Tangent Line	x^2y^2-9x^2-4y^2=0	$x^{2} y^{2} - 9 x^{2} - 4 y^{2} = 0$
26194	Evaluate the Integral	integral from natural log of 27 to natural log of 216 of e^(x/3) with respect to x	$\int_{\ln (27)}^{\ln (216)} e^{\frac{x}{3}} d x$
26195	Find the Concavity	f(x)=-x^3-12x^2-45x+2	$f (x) = - x^{3} - 12 x^{2} - 45 x + 2$
26196	Find the Critical Points	f(x) = square root of 4-x^2	$f (x) = \sqrt{4 - x^{2}}$
26197	Find the Critical Points	f(x)=x^3-3x^2-105x	$f (x) = x^{3} - 3 x^{2} - 105 x$
26198	Find the Critical Points	f(x)=sin(2x)	$f (x) = \sin (2 x)$
26199	Evaluate the Integral	integral from -pi to pi of cos(x) with respect to x	$\int_{- π}^{π} \cos (x) d x$
26200	Find the Inflection Points	-x^3+6x^2-18	$- x^{3} + 6 x^{2} - 18$