Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
9101	Evaluate the Integral	integral of 1-cos(2x) with respect to x	$\int 1 - \cos (2 x) d x$
9102	Evaluate the Integral	integral from 2 to x^2 of arctan(t) with respect to t	$\int_{2}^{x^{2}} \arctan (t) d t$
9103	Evaluate the Integral	integral from -2 to 0 of 1/2x^4+1/4x^3-x with respect to x	$\int_{- 2}^{0} \frac{1}{2} x^{4} + \frac{1}{4} x^{3} - x d x$
9104	Evaluate the Integral	integral of 13.897t+284.653/t with respect to t	$\int 13.897 t + \frac{284.653}{t} d t$
9105	Evaluate the Integral	integral of 18t^2e^(-t^3) with respect to t	$\int 18 t^{2} e^{- t^{3}} d t$
9106	Evaluate the Integral	integral of 17 natural log of cube root of x with respect to x	$\int 17 \ln (\sqrt[3]{x}) d x$
9107	Evaluate the Integral	integral of 1 with respect to y	$\int 1 d y$
9108	Evaluate the Integral	integral from 1 to e of 1/x with respect to xdx	$\int_{1}^{e} \frac{1}{x} d x d x$
9109	Evaluate the Integral	integral from pi/2 to (3pi)/4 of sin(x) with respect to x	$\int_{\frac{π}{2}}^{\frac{3 π}{4}} \sin (x) d x$
9110	Evaluate the Integral	integral from 1 to e of 4x-11/x with respect to x	$\int_{1}^{e} 4 x - \frac{11}{x} d x$
9111	Evaluate the Integral	integral of 1+cos(x) with respect to x	$\int 1 + \cos (x) d x$
9112	Evaluate the Integral	integral from 1 to e of x^2-1/x with respect to x	$\int_{1}^{e} x^{2} - \frac{1}{x} d x$
9113	Evaluate the Integral	integral of 11x^2e(-4x^3) with respect to x	$\int 11 x^{2} e (- 4 x^{3}) d x$
9114	Evaluate the Integral	integral of 12e^x with respect to x	$\int 12 e^{x} d x$
9115	Evaluate the Integral	integral of 10x natural log of 7x with respect to x	$\int 10 x \ln (7 x) d x$
9116	Evaluate the Integral	integral of 10x natural log of 2x with respect to x	$\int 10 x \ln (2 x) d x$
9117	Evaluate the Integral	integral of 10x natural log of 3x with respect to x	$\int 10 x \ln (3 x) d x$
9118	Evaluate the Integral	integral from 1 to 5 of x square root of 2x^2-1 with respect to x	$\int_{1}^{5} x \sqrt{2 x^{2} - 1} d x$
9119	Evaluate the Integral	integral from 1 to 500 of 13^x-11^x with respect to x+ integral from 2 to 500 of 11^x-13^x with respect to x	$\int_{1}^{500} 13^{x} - 11^{x} d x + \int_{2}^{500} 11^{x} - 13^{x} d x$
9120	Evaluate the Integral	integral from 1 to 8 of cube root of x with respect to x	$\int_{1}^{8} \sqrt[3]{x} d x$
9121	Evaluate the Integral	integral from 1 to 7 of x square root of 6x^2+3 with respect to x	$\int_{1}^{7} x \sqrt{6 x^{2} + 3} d x$
9122	Evaluate the Integral	integral from 1 to 5 of 1/(x^2) with respect to x	$\int_{1}^{5} \frac{1}{x^{2}} d x$
9123	Evaluate the Integral	integral from 1 to 5 of 5/(x^3) with respect to x	$\int_{1}^{5} \frac{5}{x^{3}} d x$
9124	Evaluate the Integral	integral from 1 to 5 of 8x^-2 with respect to x	$\int_{1}^{5} 8 x^{- 2} d x$
9125	Evaluate the Integral	integral from 1 to 4 of 4x^2 with respect to x	$\int_{1}^{4} 4 x^{2} d x$
9126	Find the Derivative of the Integral	integral from 0 to 10 of (24t)/(2t+3) with respect to t	$\int_{0}^{10} \frac{24 t}{2 t + 3} d t$
9127	Find the Derivative - d/dx	y=e^( square root of x)	$y = e^{\sqrt{x}}$
9128	Find the Derivative of the Integral	integral from -pi/4 to pi/4 of cos(x)^2sin(x)^5 with respect to x	$\int_{- \frac{π}{4}}^{\frac{π}{4}} \cos^{2} (x) \sin^{5} (x) d x$
9129	Find dy/dx	y=(2x+1)^2	$y = {(2 x + 1)}^{2}$
9130	Find the Derivative of the Integral	integral of cos(2x+7) with respect to x	$\int \cos (2 x + 7) d x$
9131	Find the Derivative of the Integral	h(x) = integral from 1 to square root of x of (z^2)/(z^4+1) with respect to x	$h (x) = \int_{1}^{\sqrt{x}} \frac{z^{2}}{z^{4} + 1} d x$
9132	Evaluate the Limit	limit as x approaches 0 of (sin(7x))/x	$lim_{x \to 0} \frac{\sin (7 x)}{x}$
9133	Evaluate	0.5-1	$0.5 - 1$
9134	Evaluate	(8.66)-3/75*(8.66)^3	$(8.66) - \frac{3}{75} \cdot {(8.66)}^{3}$
9135	Evaluate	(18^(3/2))(1/2)^(3/2)	$(18^{\frac{3}{2}}) {(\frac{1}{2})}^{\frac{3}{2}}$
9136	Evaluate	(32^(3/2))(1/2)^(3/2)	$(32^{\frac{3}{2}}) {(\frac{1}{2})}^{\frac{3}{2}}$
9137	Evaluate	(7.75)-1/20*(7.75)^3	$(7.75) - \frac{1}{20} \cdot {(7.75)}^{3}$
9138	Evaluate	(2^2+2(2)-8)/(2^2-4)	$\frac{2^{2} + 2 (2) - 8}{2^{2} - 4}$
9139	Evaluate	(5^2)/(5^3)	$\frac{5^{2}}{5^{3}}$
9140	Evaluate the Limit	limit as x approaches 2 of (x^3-8)/(x^4-16)	$lim_{x \to 2} \frac{x^{3} - 8}{x^{4} - 16}$
9141	Evaluate	-(-4/3)^3+(-4/3)^2+8(-4/3)+1	$- {(- \frac{4}{3})}^{3} + {(- \frac{4}{3})}^{2} + 8 (- \frac{4}{3}) + 1$
9142	Evaluate	(1/16)^(-1/4)(27/216)^(-1/3)	${(\frac{1}{16})}^{- \frac{1}{4}} {(\frac{27}{216})}^{- \frac{1}{3}}$
9143	Evaluate	(32.05)^(4/5)	${(32.05)}^{\frac{4}{5}}$
9144	Evaluate	(1.999)^3	${(1.999)}^{3}$
9145	Evaluate	(2.001)^5	${(2.001)}^{5}$
9146	Evaluate	1024/8	$\frac{1024}{8}$
9147	Evaluate	10.2/( square root of 36+(10.2)^2)*(440)	$\frac{10.2}{\sqrt{36 + {(10.2)}^{2}}} \cdot (440)$
9148	Evaluate	1^e	$1^{e}$
9149	Evaluate	18/6+4	$\frac{18}{6} + 4$
9150	Evaluate	-(2(6)(3))/(12(-1)+6)	$- \frac{2 (6) (3)}{12 (- 1) + 6}$
9151	Evaluate	162/6	$\frac{162}{6}$
9152	Evaluate	128/3-2/3	$\frac{128}{3} - \frac{2}{3}$
9153	Evaluate	125^(3/2)	$125^{\frac{3}{2}}$
9154	Evaluate	0.01/3	$\frac{0.01}{3}$
9155	Evaluate	(1.0001-4)/((1.0001-1)^2)	$\frac{1.0001 - 4}{{(1.0001 - 1)}^{2}}$
9156	Evaluate	sin(1/(2/(5pi)))	$\sin (\frac{1}{\frac{2}{5 π}})$
9157	Evaluate	1/3*(8)^(-2/3)	$\frac{1}{3} \cdot {(8)}^{- \frac{2}{3}}$
9158	Evaluate	1/2*(1-0.95)	$\frac{1}{2} \cdot (1 - 0.95)$
9159	Evaluate	243/4-3/4	$\frac{243}{4} - \frac{3}{4}$
9160	Evaluate	-(24(3))/7	$- \frac{24 (3)}{7}$
9161	Evaluate	2662/3-(-2662/3)	$\frac{2662}{3} - (- \frac{2662}{3})$
9162	Evaluate	2/((-2(1/4)+1)^2)	$\frac{2}{{(- 2 (\frac{1}{4}) + 1)}^{2}}$
9163	Evaluate	4/3(4)^(3/2)-1/2(4)^2	$\frac{4}{3} \cdot {(4)}^{\frac{3}{2}} - \frac{1}{2} \cdot {(4)}^{2}$
9164	Evaluate	4/5*e^5-4/5	$\frac{4}{5} \cdot e^{5} - \frac{4}{5}$
9165	Evaluate	4/3*(64)	$\frac{4}{3} \cdot (64)$
9166	Evaluate	3/2(5)^2+10(5)-1/3(5)^3	$\frac{3}{2} \cdot {(5)}^{2} + 10 (5) - \frac{1}{3} \cdot {(5)}^{3}$
9167	Evaluate	3^(1/2)2/312^(3/2)	$3^{\frac{1}{2}} \cdot \frac{2}{3} \cdot 12^{\frac{3}{2}}$
9168	Evaluate the Limit	limit as x approaches -8 of (x^3+512)/(x+8)	$lim_{x \to - 8} \frac{x^{3} + 512}{x + 8}$
9169	Evaluate the Integral	integral of xcos(h(x)) with respect to x	$\int x \cosh (x) d x$
9170	Evaluate the Integral	integral of x fourth root of 5x+1 with respect to x	$\int x \sqrt[4]{5 x + 1} d x$
9171	Evaluate the Integral	integral from 0 to 2 of 2x-x^2 with respect to x	$\int_{0}^{2} 2 x - x^{2} d x$
9172	Evaluate the Integral	integral of xarctan((x)^2) with respect to x	$\int x \arctan ({(x)}^{2}) d x$
9173	Find the Derivative of the Integral	integral of (t^2+t)cos(3t) with respect to t	$\int (t^{2} + t) \cos (3 t) d t$
9174	Find the Derivative of the Integral	integral of 1/( cube root of x^2) with respect to x	$\int \frac{1}{\sqrt[3]{x^{2}}} d x$
9175	Find the Derivative of the Integral	integral of ( square root of natural log of x)/x with respect to x	$\int \frac{\sqrt{\ln (x)}}{x} d x$
9176	Evaluate the Integral	integral from 0 to 8 of square root of 64-x^2 with respect to x	$\int_{0}^{8} \sqrt{64 - x^{2}} d x$
9177	Evaluate the Integral	integral of 12/x with respect to x	$\int \frac{12}{x} d x$
9178	Graph	x/(x^2-1)	$\frac{x}{x^{2} - 1}$
9179	Evaluate the Integral	integral of 6e^(6x)sin(e^(6x)) with respect to x	$\int 6 e^{6 x} \sin (e^{6 x}) d x$
9180	Evaluate the Integral	integral of 6t^2 cube root of t with respect to t	$\int 6 t^{2} \sqrt[3]{t} d t$
9181	Evaluate the Integral	integral of 4x natural log of 2x with respect to x	$\int 4 x \ln (2 x) d x$
9182	Evaluate the Summation	sum from n=1 to infinity of 3(1/4)^(n-1)	$\sum_{n = 1}^{\infty} 3 {(\frac{1}{4})}^{n - 1}$
9183	Find the Derivative - d/dy	(y^3)/3+1/(4y)	$\frac{y^{3}}{3} + \frac{1}{4 y}$
9184	Find the Derivative - d/d@VAR	f(x)=-2/(x^4)	$f (x) = \frac{- 2}{x^{4}}$
9185	Find the Derivative - d/dx	10 square root of x	$10 \sqrt{x}$
9186	Evaluate the Integral	integral of sin(3pix) with respect to x	$\int \sin (3 π x) d x$
9187	Find the Derivative - d/d@VAR	f(x)=3e^x	$f (x) = 3 e^{x}$
9188	Solve for x	-3x^2+24x+99=0	$- 3 x^{2} + 24 x + 99 = 0$
9189	Solve for x	natural log of x+ natural log of x-1=3	$\ln (x) + \ln (x - 1) = 3$
9190	Evaluate the Integral	integral from a to b of x^2 with respect to x	$\int_{a}^{b} x^{2} d x$
9191	Simplify	infinity+negative infinity	$\infty + - \infty$
9192	Evaluate the Integral	integral from 9 to 16 of square root of x-4 with respect to x	$\int_{9}^{16} \sqrt{x} - 4 d x$
9193	Find the Derivative of the Integral	integral from 2x to 3x+1 of sin(t^4) with respect to t	$\int_{2 x}^{3 x + 1} \sin (t^{4}) d t$
9194	Find the Derivative of the Integral	integral of cos(2x) with respect to x	$\int \cos (2 x) d x$
9195	Find the Derivative of the Integral	integral of csc(x) with respect to x	$\int \csc (x) d x$
9196	Find the Derivative of the Integral	integral of xarccot(x) with respect to x	$\int x arccot (x) d x$
9197	Find the Derivative - d/dx	fifth root of 2x^3+8x	$\sqrt[5]{2 x^{3} + 8 x}$
9198	Find the Derivative of the Integral	integral of x square root of x+13 with respect to x	$\int x \sqrt{x + 13} d x$
9199	Find the Derivative of the Integral	integral of sec(y)(tan(y)-sec(y)) with respect to y	$\int \sec (y) (\tan (y) - \sec (y)) d y$
9200	Find the Derivative of the Integral	integral of x(2x+5)^8 with respect to x	$\int x {(2 x + 5)}^{8} d x$