Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
26201	Evaluate the Integral	integral of ux with respect to x	$\int u x d x$
26202	Evaluate the Integral	integral of square root of 7x+4 with respect to x	$\int \sqrt{7 x + 4} d x$
26203	Evaluate the Integral	integral of sin(x) natural log of x with respect to x	$\int \sin (x) \ln (x) d x$
26204	Evaluate the Integral	integral of sin(x)cos(5x) with respect to x	$\int \sin (x) \cos (5 x) d x$
26205	Evaluate the Integral	integral of t square root of t^2+1 with respect to t	$\int t \sqrt{t^{2} + 1} d t$
26206	Graph	120(1+200e^(-2x))-40/67	$120 (1 + 200 e^{- 2 x}) - \frac{40}{67}$
26207	Evaluate the Integral	integral of sin(9t)+sin(2t) with respect to t	$\int \sin (9 t) + \sin (2 t) d t$
26208	Evaluate the Integral	integral of sin(u)cos(u) with respect to u	$\int \sin (u) \cos (u) d u$
26209	Evaluate the Integral	- integral of t natural log of t with respect to t	$- \int t \ln (t) d t$
26210	Evaluate Using the Squeeze Theorem	limit as x approaches infinity of arctan(-e^x)	$lim_{x \to \infty} \arctan (- e^{x})$
26211	Evaluate the Integral	integral of 5xe^(4x) with respect to x	$\int 5 x e^{4 x} d x$
26212	Evaluate the Integral	integral of 57 cube root of x with respect to x	$\int 57 \sqrt[3]{x} d x$
26213	Evaluate the Integral	integral of 5 cube root of x with respect to x	$\int 5 \sqrt[3]{x} d x$
26214	Evaluate the Integral	integral of 4x natural log of 3x with respect to x	$\int 4 x \ln (3 x) d x$
26215	Evaluate the Integral	integral of 4x natural log of 5x with respect to x	$\int 4 x \ln (5 x) d x$
26216	Evaluate the Integral	integral of 4x-9 with respect to x	$\int 4 x - 9 d x$
26217	Evaluate the Summation	sum from n=1 to 4 of 4n-3	$\sum_{n = 1}^{4} 4 n - 3$
26218	Evaluate the Integral	integral of 4sin(x) with respect to x	$\int 4 \sin (x) d x$
26219	Evaluate the Integral	integral of 4x-3^9 with respect to x	$\int 4 x - 3^{9} d x$
26220	Evaluate the Integral	integral from -5 to 5 of 2/(x^3) with respect to x	$\int_{- 5}^{5} \frac{2}{x^{3}} d x$
26221	Evaluate the Integral	integral of 6cos(x)^2 with respect to x	$\int 6 \cos^{2} (x) d x$
26222	Evaluate the Integral	integral of ((1+3x)^2)/( cube root of x) with respect to x	$\int \frac{{(1 + 3 x)}^{2}}{\sqrt[3]{x}} d x$
26223	Evaluate the Integral	integral of 7sin(x)^2cos(x)^2 with respect to x	$\int 7 \sin^{2} (x) \cos^{2} (x) d x$
26224	Evaluate the Integral	integral of 6sin(x)^2 with respect to x	$\int 6 \sin^{2} (x) d x$
26225	Evaluate the Integral	integral of -7xe^(4x-2) with respect to x	$\int - 7 x e^{4 x - 2} d x$
26226	Evaluate the Integral	integral of 7sin(z)+6cos(z) with respect to z	$\int 7 \sin (z) + 6 \cos (z) d z$
26227	Evaluate the Integral	integral of -6xe^(-3x^2) with respect to x	$\int - 6 x e^{- 3 x^{2}} d x$
26228	Evaluate the Integral	integral of cos(2x-7) with respect to x	$\int \cos (2 x - 7) d x$
26229	Evaluate the Integral	integral from 4 to 7 of 6(t^2-11t+30) with respect to t	$\int_{4}^{7} 6 (t^{2} - 11 t + 30) d t$
26230	Evaluate the Integral	integral from 4 to 2 of x with respect to x	$\int_{4}^{2} x d x$
26231	Evaluate the Integral	integral of 4e^(-0.2x) with respect to x	$\int 4 e^{- 0.2 x} d x$
26232	Evaluate the Integral	integral of 5t^4 square root of t^5+4 with respect to t	$\int 5 t^{4} \sqrt{t^{5} + 4} d t$
26233	Evaluate the Integral	integral of 4+5t^(2/3) with respect to t	$\int 4 + 5 t^{\frac{2}{3}} d t$
26234	Evaluate the Integral	integral from 4-3x to 1 of (u^3)/(1+u^2) with respect to u	$\int_{4 - 3 x}^{1} \frac{u^{3}}{1 + u^{2}} d u$
26235	Evaluate the Integral	integral of 48x^2(x^3+4)^3 with respect to x	$\int 48 x^{2} {(x^{3} + 4)}^{3} d x$
26236	Evaluate the Integral	integral from 0 to 2 of 2 with respect to x	$\int_{0}^{2} 2 d x$
26237	Evaluate the Integral	integral of 3y^2 with respect to y	$\int 3 y^{2} d y$
26238	Evaluate the Integral	integral of 3tan(3x) with respect to x	$\int 3 \tan (3 x) d x$
26239	Evaluate the Integral	integral of 3 square root of t with respect to t	$\int 3 \sqrt{t} d t$
26240	Evaluate the Integral	integral of 3x^2cos(x^3) with respect to x	$\int 3 x^{2} \cos (x^{3}) d x$
26241	Evaluate the Integral	integral of x^2 natural log of 4x with respect to x	$\int x^{2} \ln (4 x) d x$
26242	Find the Derivative of the Integral	integral of (4x-2)/(16x^4-1) with respect to x	$\int \frac{4 x - 2}{16 x^{4} - 1} d x$
26243	Find the Derivative of the Integral	integral of (nx)^((1-n)/n) with respect to x	$\int {(n x)}^{\frac{1 - n}{n}} d x$
26244	Find the Derivative of the Integral	integral of (2x-4)/(2x^2-8) with respect to x	$\int \frac{2 x - 4}{2 x^{2} - 8} d x$
26245	Find the Derivative of the Integral	integral of ( square root of x^2-4)/x with respect to x	$\int \frac{\sqrt{x^{2} - 4}}{x} d x$
26246	Find the Derivative of the Integral	integral of (tan(x)^3)/(cos(x)^3) with respect to x	$\int \frac{\tan^{3} (x)}{\cos^{3} (x)} d x$
26247	Find the Derivative of the Integral	integral of ( square root of x^2-16)/x with respect to x	$\int \frac{\sqrt{x^{2} - 16}}{x} d x$
26248	Find the Derivative of the Integral	integral of (e^x-e^(-x))/(e^x+e^(-x)) with respect to x	$\int \frac{e^{x} - e^{- x}}{e^{x} + e^{- x}} d x$
26249	Find the Derivative of the Integral	integral of -(e^(4x))/(1+4e^(-x)) with respect to x	$\int - \frac{e^{4 x}}{1 + 4 e^{- x}} d x$
26250	Find the Derivative of the Integral	integral of (x^2-1)^5(2x) with respect to x	$\int {(x^{2} - 1)}^{5} (2 x) d x$
26251	Find the Derivative of the Integral	integral of 8x^7-7/(x^7) with respect to x	$\int 8 x^{7} - \frac{7}{x^{7}} d x$
26252	Find the Derivative of the Integral	integral of 1/(x square root of 25-x^2) with respect to x	$\int \frac{1}{x \sqrt{25 - x^{2}}} d x$
26253	Find the Derivative of the Integral	integral of 10^(12 log of t) with respect to t	$\int 10^{12 \log (t)} d t$
26254	Find the Derivative of the Integral	integral of 19/(2+5y) with respect to y	$\int \frac{19}{2 + 5 y} d y$
26255	Find the Derivative of the Integral	integral of 1/(4x-3) with respect to x	$\int \frac{1}{4 x - 3} d x$
26256	Find the Derivative of the Integral	integral of (-2x^2-6x+16)/(x^3+3x^2-x-3) with respect to x	$\int \frac{- 2 x^{2} - 6 x + 16}{x^{3} + 3 x^{2} - x - 3} d x$
26257	Find the Derivative of the Integral	integral of 3/x with respect to x	$\int \frac{3}{x} d x$
26258	Find the Derivative of the Integral	integral of 1/(1+ square root of x) with respect to x	$\int \frac{1}{1 + \sqrt{x}} d x$
26259	Find the Derivative of the Integral	integral of 1/(x^2 square root of 1+x^2) with respect to x	$\int \frac{1}{x^{2} \sqrt{1 + x^{2}}} d x$
26260	Find the Derivative of the Integral	integral of 1/((x-1)^3) with respect to x	$\int \frac{1}{{(x - 1)}^{3}} d x$
26261	Find the Derivative of the Integral	integral of 1/( square root of e^(2x)-1) with respect to x	$\int \frac{1}{\sqrt{e^{2 x} - 1}} d x$
26262	Find the Derivative of the Integral	integral of (x^10-8x^6+28)/(2x^7) with respect to x	$\int \frac{x^{10} - 8 x^{6} + 28}{2 x^{7}} d x$
26263	Find the Derivative of the Integral	integral of (x^2+1)/((vx:4+9x^2)) with respect to x	$\int \frac{x^{2} + 1}{(v x : 4 + 9 x^{2})} d x$
26264	Find the Derivative of the Integral	integral of (x^4-3x^2+5)/(x^4) with respect to x	$\int \frac{x^{4} - 3 x^{2} + 5}{x^{4}} d x$
26265	Find the Derivative of the Integral	integral of \|x\| with respect to x	$\int \| x \| d x$
26266	Find the Derivative of the Integral	integral of 1/((x^2-1)^(3/2)) with respect to x	$\int \frac{1}{{(x^{2} - 1)}^{\frac{3}{2}}} d x$
26267	Find the Derivative of the Integral	integral of x^2-5x+3 with respect to x	$\int x^{2} - 5 x + 3 d x$
26268	Find the Derivative of the Integral	integral of 5/(t^2)+4t^2 with respect to t	$\int \frac{5}{t^{2}} + 4 t^{2} d t$
26269	Find the Derivative of the Integral	integral of seventh root of x^2-5/(x^2) with respect to x	$\int \sqrt[7]{x^{2}} - \frac{5}{x^{2}} d x$
26270	Find dy/dx	4xcos(y)+7sin(2y)=5sin(y)	$4 x \cos (y) + 7 \sin (2 y) = 5 \sin (y)$
26271	Evaluate the Integral	integral of y square root of y^2-4 with respect to y	$\int y \sqrt{y^{2} - 4} d y$
26272	Evaluate the Integral	integral of x^(-1/3) with respect to x	$\int x^{- \frac{1}{3}} d x$
26273	Evaluate the Integral	d/((dx) integral from 0 to x of 13t^2+ square root of t with respect to t)	$\frac{d}{(d x) \int_{0}^{x} 13 t^{2} + \sqrt{t} d t}$
26274	Evaluate the Integral	integral of e^(xy) with respect to x	$\int e^{x y} d x$
26275	Evaluate the Integral	integral of x(x+4)^6 with respect to x	$\int x {(x + 4)}^{6} d x$
26276	Evaluate the Integral	integral of x square root of x^2+7 with respect to x	$\int x \sqrt{x^{2} + 7} d x$
26277	Evaluate the Integral	integral of x square root of x^2-576 with respect to x	$\int x \sqrt{x^{2} - 576} d x$
26278	Evaluate the Integral	integral of x cube root of x+5 with respect to x	$\int x \sqrt[3]{x + 5} d x$
26279	Evaluate the Integral	integral of x fourth root of x+8 with respect to x	$\int x \sqrt[4]{x + 8} d x$
26280	Evaluate the Integral	integral of xsec(2x)^2 with respect to x	$\int x \sec^{2} (2 x) d x$
26281	Evaluate	tan(arccos(( square root of 2)/2))	$\tan (\arccos (\frac{\sqrt{2}}{2}))$
26282	Evaluate the Limit	limit as x approaches 0 of (6x)/(cot(3x))	$lim_{x \to 0} \frac{6 x}{\cot (3 x)}$
26283	Evaluate the Limit	limit as x approaches 2 of square root of (5x^2+5)/(3x-2)	$lim_{x \to 2} \sqrt{\frac{5 x^{2} + 5}{3 x - 2}}$
26284	Evaluate the Integral	integral of xsin(0.5x) with respect to x	$\int x \sin (0.5 x) d x$
26285	Evaluate the Integral	integral of -xcos(x) with respect to x	$\int - x \cos (x) d x$
26286	Find the Inverse	f(x)=2 natural log of x/2+1	$f (x) = 2 L n (\frac{x}{2} + 1)$
26287	Evaluate the Integral	integral of xcos(2x^2) with respect to x	$\int x \cos (2 x^{2}) d x$
26288	Find the Local Maxima and Minima	f(x)=18x-x^2	$f (x) = 18 x - x^{2}$
26289	Evaluate the Integral	integral of xsin(7x) with respect to x	$\int x \sin (7 x) d x$
26290	Evaluate the Integral	integral of y square root of 2y+2 with respect to y	$\int y \sqrt{2 y + 2} d y$
26291	Evaluate the Integral	integral of y natural log of y with respect to y	$\int y \ln (y) d y$
26292	Evaluate	-4.8/2.1	$- \frac{4.8}{2.1}$
26293	Evaluate	-(4(-1)^2-16*-1)/((4(-1)+8)^2)	$- \frac{4 {(- 1)}^{2} - 16 \cdot - 1}{{(4 (- 1) + 8)}^{2}}$
26294	Evaluate	39.35/50	$\frac{39.35}{50}$
26295	Evaluate	384/12	$\frac{384}{12}$
26296	Evaluate	(4(1)(12)-(-7)^2)/(4(1))	$\frac{4 (1) (12) - {(- 7)}^{2}}{4 (1)}$
26297	Evaluate	3725/50	$\frac{3725}{50}$
26298	Evaluate	-36/5	$- \frac{36}{5}$
26299	Evaluate	(36000000(300-2*50))/((2(50)+300)^3)	$\frac{36000000 (300 - 2 \cdot 50)}{{(2 (50) + 300)}^{3}}$
26300	Evaluate	32/(((2)^2+32)^(3/2))	$\frac{32}{{({(2)}^{2} + 32)}^{\frac{3}{2}}}$