Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5201	Evaluate the Integral	integral of cot(4x) with respect to x	$\int \cot (4 x) d x$
5202	Evaluate the Integral	p integral from 0 to 8 of ( cube root of x)^2 with respect to x	$p \int_{0}^{8} {(\sqrt[3]{x})}^{2} d x$
5203	Graph	f(x)=4x^3-9x^4	$f (x) = 4 x^{3} - 9 x^{4}$
5204	Evaluate the Limit	limit as x approaches pi of 3sin(x+sin(x))	$lim_{x \to π} 3 \sin (x + \sin (x))$
5205	Find the Derivative - d/d@VAR	s(t)=16t^2	$s (t) = 16 t^{2}$
5206	Find the 2nd Derivative	y = cube root of x	$y = \sqrt[3]{x}$
5207	Evaluate the Integral	integral of 9 with respect to x	$\int 9 d x$
5208	Find the Difference Quotient	f(x)=2x^2	$f (x) = 2 x^{2}$
5209	Find the Derivative - d/d@VAR	F(y)=(1/(y^2)-7/(y^4))(y+5y^3)	$F (y) = (\frac{1}{y^{2}} - \frac{7}{y^{4}}) (y + 5 y^{3})$
5210	Evaluate the Integral	integral of (x^3-3x^2+5)/(x-3) with respect to x	$\int \frac{x^{3} - 3 x^{2} + 5}{x - 3} d x$
5211	Evaluate the Integral	integral of 4sin(x)^2 with respect to x	$\int 4 \sin^{2} (x) d x$
5212	Evaluate the Integral	integral of 4xe^(2x) with respect to x	$\int 4 x e^{2 x} d x$
5213	Evaluate the Integral	integral of 4x-7 with respect to x	$\int 4 x - 7 d x$
5214	Evaluate the Integral	integral of 4cos(3x) with respect to x	$\int 4 \cos (3 x) d x$
5215	Evaluate the Integral	integral of 4t with respect to t	$\int 4 t d t$
5216	Evaluate the Integral	integral of 4e^(-0.8x) with respect to x	$\int 4 e^{- 0.8 x} d x$
5217	Evaluate the Integral	integral of 4e^(5x) with respect to x	$\int 4 e^{5 x} d x$
5218	Evaluate the Integral	integral from -5 to 5 of 25-x^2 with respect to x	$\int_{- 5}^{5} 25 - x^{2} d x$
5219	Evaluate the Integral	integral of 5e^(-0.8x) with respect to x	$\int 5 e^{- 0.8 x} d x$
5220	Evaluate the Integral	integral of 5e^(5x) with respect to x	$\int 5 e^{5 x} d x$
5221	Evaluate the Integral	integral of 5e^t with respect to t	$\int 5 e^{t} d t$
5222	Evaluate the Integral	integral of 5xe^(2x) with respect to x	$\int 5 x e^{2 x} d x$
5223	Evaluate the Integral	integral of -5x with respect to x	$\int - 5 x d x$
5224	Evaluate the Integral	integral of 5x(x^2-8) with respect to x	$\int 5 x (x^{2} - 8) d x$
5225	Evaluate the Integral	integral of 5x-6 with respect to x	$\int 5 x - 6 d x$
5226	Evaluate the Integral	integral of 5xe^(9x) with respect to x	$\int 5 x e^{9 x} d x$
5227	Evaluate the Integral	integral of 8x natural log of 7x with respect to x	$\int 8 x \ln (7 x) d x$
5228	Evaluate the Integral	integral from -9 to 9 of square root of 81-x^2 with respect to x	$\int_{- 9}^{9} \sqrt{81 - x^{2}} d x$
5229	Evaluate the Integral	integral of 9t^2 with respect to t	$\int 9 t^{2} d t$
5230	Evaluate the Integral	integral of 9x^2-4x+5 with respect to x	$\int 9 x^{2} - 4 x + 5 d x$
5231	Evaluate the Integral	integral of 8x^(3/2) with respect to x	$\int 8 x^{\frac{3}{2}} d x$
5232	Evaluate the Integral	integral from -8 to 8 of square root of 64-x^2 with respect to x	$\int_{- 8}^{8} \sqrt{64 - x^{2}} d x$
5233	Evaluate the Integral	integral of 6x^5sin(x^6) with respect to x	$\int 6 x^{5} \sin (x^{6}) d x$
5234	Evaluate the Integral	integral of 6t^2e^(-t^3) with respect to t	$\int 6 t^{2} e^{- t^{3}} d t$
5235	Evaluate the Integral	integral of 6e^(3x) with respect to x	$\int 6 e^{3 x} d x$
5236	Evaluate the Integral	integral from -6 to 6 of 36-x^2 with respect to x	$\int_{- 6}^{6} 36 - x^{2} d x$
5237	Evaluate the Integral	integral from -7 to 7 of 49-x^2 with respect to x	$\int_{- 7}^{7} 49 - x^{2} d x$
5238	Evaluate the Integral	integral of 7e^(-0.2x) with respect to x	$\int 7 e^{- 0.2 x} d x$
5239	Evaluate the Integral	integral from 25 to 36 of ( natural log of y)/( square root of y) with respect to y	$\int_{25}^{36} \frac{\ln (y)}{\sqrt{y}} d y$
5240	Evaluate the Integral	integral of 23xsin(x) with respect to x	$\int 23 x \sin (x) d x$
5241	Evaluate the Integral	integral of 20 with respect to x	$\int 20 d x$
5242	Evaluate the Integral	integral of 2x(x^2-1)^99 with respect to x	$\int 2 x {(x^{2} - 1)}^{99} d x$
5243	Evaluate the Integral	integral of 2x-6 with respect to x	$\int 2 x - 6 d x$
5244	Evaluate the Integral	integral of 2xcos(x^2) with respect to x	$\int 2 x \cos (x^{2}) d x$
5245	Evaluate the Integral	integral of 2x square root of x^2-1 with respect to x	$\int 2 x \sqrt{x^{2} - 1} d x$
5246	Evaluate the Integral	integral of 2x-4 with respect to x	$\int 2 x - 4 d x$
5247	Evaluate the Integral	integral from 2 to 6 of 6x-18 with respect to x	$\int_{2}^{6} 6 x - 18 d x$
5248	Evaluate the Integral	integral of 3xcos(2x) with respect to x	$\int 3 x \cos (2 x) d x$
5249	Evaluate the Integral	integral of 3cos(3x) with respect to x	$\int 3 \cos (3 x) d x$
5250	Evaluate the Integral	integral of 3xe^(2x) with respect to x	$\int 3 x e^{2 x} d x$
5251	Evaluate the Integral	integral of 3xe^(4x) with respect to x	$\int 3 x e^{4 x} d x$
5252	Evaluate the Integral	integral of 3x^2(x^3-1)^5 with respect to x	$\int 3 x^{2} {(x^{3} - 1)}^{5} d x$
5253	Evaluate the Integral	integral from 3 to 9 of 1/(x-1) with respect to x	$\int_{3}^{9} \frac{1}{x - 1} d x$
5254	Evaluate the Integral	integral of 3e^(-x) with respect to x	$\int 3 e^{- x} d x$
5255	Evaluate the Integral	integral of 3cos(5x)^2 with respect to x	$\int 3 \cos^{2} (5 x) d x$
5256	Evaluate the Integral	integral of 3e^(2x) with respect to x	$\int 3 e^{2 x} d x$
5257	Evaluate the Integral	integral of 3ay^2 with respect to y	$\int 3 a y^{2} d y$
5258	Evaluate the Integral	integral of y/x with respect to x	$\int \frac{y}{x} d x$
5259	Evaluate the Integral	integral of xe^(-3x^2) with respect to x	$\int x e^{- 3 x^{2}} d x$
5260	Evaluate the Integral	integral from 0 to pi/2 of cos(x)^2 with respect to x	$\int_{0}^{\frac{π}{2}} \cos^{2} (x) d x$
5261	Evaluate the Integral	integral from 0 to (3pi)/2 of \|sin(x)\| with respect to x	$\int_{0}^{\frac{3 π}{2}} \| \sin (x) \| d x$
5262	Evaluate the Integral	integral from 0 to pi/18 of sin(9x)^5 with respect to x	$\int_{0}^{\frac{π}{18}} \sin^{5} (9 x) d x$
5263	Evaluate the Integral	integral from 0 to pi/3 of tan(x)^5sec(x)^4 with respect to x	$\int_{0}^{\frac{π}{3}} \tan^{5} (x) \sec^{4} (x) d x$
5264	Evaluate the Integral	integral from 0 to pi/2 of cos(x)sin(sin(x)) with respect to x	$\int_{0}^{\frac{π}{2}} \cos (x) \sin (\sin (x)) d x$
5265	Evaluate the Integral	integral of x^9 natural log of x with respect to x	$\int x^{9} \ln (x) d x$
5266	Evaluate the Integral	integral of x^9sin(x^10) with respect to x	$\int x^{9} \sin (x^{10}) d x$
5267	Evaluate the Integral	integral of (x+1)/((x^2+2x-3)^2) with respect to x	$\int \frac{x + 1}{{(x^{2} + 2 x - 3)}^{2}} d x$
5268	Evaluate the Integral	integral of x^5(x^6-7)^4 with respect to x	$\int x^{5} {(x^{6} - 7)}^{4} d x$
5269	Evaluate the Integral	integral of x/((7x^2+3)^5) with respect to xdx	$\int \frac{x}{{(7 x^{2} + 3)}^{5}} d x d x$
5270	Evaluate the Integral	integral of x^3cos(3x) with respect to x	$\int x^{3} \cos (3 x) d x$
5271	Evaluate the Integral	integral of x^3cos(x^4) with respect to x	$\int x^{3} \cos (x^{4}) d x$
5272	Evaluate the Integral	integral of x^3(2-x^2)^12 with respect to x	$\int x^{3} {(2 - x^{2})}^{12} d x$
5273	Evaluate the Integral	integral of square root of 5+4x-x^2 with respect to x	$\int \sqrt{5 + 4 x - x^{2}} d x$
5274	Evaluate the Integral	integral of square root of 4-2t with respect to t	$\int \sqrt{4 - 2 t} d t$
5275	Evaluate the Integral	integral of square root of 4-2x with respect to x	$\int \sqrt{4 - 2 x} d x$
5276	Evaluate the Integral	integral of square root of 25-x^2 with respect to x	$\int \sqrt{25 - x^{2}} d x$
5277	Evaluate the Integral	integral of square root of tan(x)sec(x)^4 with respect to x	$\int \sqrt{\tan (x)} \sec^{4} (x) d x$
5278	Evaluate the Integral	integral of square root of 81-x^2 with respect to x	$\int \sqrt{81 - x^{2}} d x$
5279	Evaluate the Integral	integral of cube root of 3-4x^2(-8x) with respect to x	$\int \sqrt[3]{3 - 4 x^{2}} (- 8 x) d x$
5280	Evaluate the Integral	integral of eighth root of x with respect to x	$\int \sqrt[8]{x} d x$
5281	Evaluate the Integral	integral of x^2(x^3+5)^6 with respect to x	$\int x^{2} {(x^{3} + 5)}^{6} d x$
5282	Evaluate the Integral	integral of x/(x^4+9) with respect to x	$\int \frac{x}{x^{4} + 9} d x$
5283	Evaluate the Limit	limit as x approaches negative infinity of 5e^x	$lim_{x \to - \infty} 5 e^{x}$
5284	Evaluate the Integral	integral of x/( square root of x-6) with respect to x	$\int \frac{x}{\sqrt{x - 6}} d x$
5285	Evaluate the Integral	integral of x/( square root of 8-x^2) with respect to x	$\int \frac{x}{\sqrt{8 - x^{2}}} d x$
5286	Evaluate the Integral	integral of x/( square root of 4-5x^2) with respect to x	$\int \frac{x}{\sqrt{4 - 5 x^{2}}} d x$
5287	Evaluate the Integral	integral of x/( square root of 6x^2+7) with respect to x	$\int \frac{x}{\sqrt{6 x^{2} + 7}} d x$
5288	Evaluate the Integral	integral of x^(3/5) with respect to x	$\int x^{\frac{3}{5}} d x$
5289	Evaluate the Integral	integral of x^-13 with respect to x	$\int x^{- 13} d x$
5290	Evaluate the Integral	integral of x^(2(2x+1)^8) with respect to x	$\int x^{2 {(2 x + 1)}^{8}} d x$
5291	Evaluate the Integral	integral of x^(-5/4) with respect to x	$\int x^{- \frac{5}{4}} d x$
5292	Evaluate the Integral	integral of x^(4/5) with respect to x	$\int x^{\frac{4}{5}} d x$
5293	Evaluate the Integral	integral of x^(6/5) with respect to x	$\int x^{\frac{6}{5}} d x$
5294	Evaluate the Integral	integral of x^(6/7) with respect to x	$\int x^{\frac{6}{7}} d x$
5295	Evaluate the Integral	integral of x^(7/5) with respect to x	$\int x^{\frac{7}{5}} d x$
5296	Evaluate the Integral	integral of x^(7/8) with respect to x	$\int x^{\frac{7}{8}} d x$
5297	Evaluate the Integral	integral of x^(8/9) with respect to x	$\int x^{\frac{8}{9}} d x$
5298	Evaluate the Integral	integral of e^(-3x)sin(5x) with respect to x	$\int e^{- 3 x} \sin (5 x) d x$
5299	Evaluate the Integral	integral of e^(4x)sin(5x) with respect to x	$\int e^{4 x} \sin (5 x) d x$
5300	Evaluate the Integral	integral of e^(-3x)sec(e^(-3x))tan(e^(-3x)) with respect to x	$\int e^{- 3 x} \sec (e^{- 3 x}) \tan (e^{- 3 x}) d x$