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Popular Problems

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Popular Calculus Problems

integral of 4csc^4(x)cot(x)	\int\:4\csc^{4}(x)\cot(x)dx
integral of (4x)/(sqrt(x^2+3))	\int\:\frac{4x}{\sqrt{x^{2}+3}}dx
integral of 3x^3(4-4x^4)^{3/2}	\int\:3x^{3}(4-4x^{4})^{\frac{3}{2}}dx
integral of (cos(x+pi/2))/(5sin(x+pi/2))	\int\:\frac{\cos(x+\frac{π}{2})}{5\sin(x+\frac{π}{2})}dx
integral of xsin(1-x)	\int\:x\sin(1-x)dx
integral of (x+sqrt(2))/(x^2+sqrt(2)x+1)	\int\:\frac{x+\sqrt{2}}{x^{2}+\sqrt{2}x+1}dx
integral of (x^3-2x+3)ln(x)	\int\:(x^{3}-2x+3)\ln(x)dx
integral of (ln(x))/(x(ln^2(x)+1))	\int\:\frac{\ln(x)}{x(\ln^{2}(x)+1)}dx
integral of sqrt(6x^5)	\int\:\sqrt{6x^{5}}dx
integral of 1/(x^3(x^2+1)^2)	\int\:\frac{1}{x^{3}(x^{2}+1)^{2}}dx
integral of (x^2+16x)/((x+8)^2)	\int\:\frac{x^{2}+16x}{(x+8)^{2}}dx
integral of e^{3x-6}	\int\:e^{3x-6}dx
integral of (1-sqrt(x))/(sqrt(1-x))	\int\:\frac{1-\sqrt{x}}{\sqrt{1-x}}dx
integral of 5/(x^2+7x+12)	\int\:\frac{5}{x^{2}+7x+12}dx
integral of 3/(x-4)	\int\:\frac{3}{x-4}dx
integral of e^{x/b}	\int\:e^{\frac{x}{b}}dx
integral of (t^2-1)/(t^2+1)	\int\:\frac{t^{2}-1}{t^{2}+1}dt
integral of 5-0.03x+0.0004x^2	\int\:5-0.03x+0.0004x^{2}dx
integral of (2x+6)/(sqrt(x))	\int\:\frac{2x+6}{\sqrt{x}}dx
integral of 1/(1+2^x)	\int\:\frac{1}{1+2^{x}}dx
integral of usec^2(u)	\int\:u\sec^{2}(u)du
integral of (6x^8)/(sec(10x^3))	\int\:\frac{6x^{8}}{\sec(10x^{3})}dx
integral of 3^{2x-1}	\int\:3^{2x-1}dx
integral of (cos^3(3x)-cos(3x))	\int\:(\cos^{3}(3x)-\cos(3x))dx
integral of (x+2)sqrt(x^2+4x+1)	\int\:(x+2)\sqrt{x^{2}+4x+1}dx
integral of (3e^x+4/x)	\int\:(3e^{x}+\frac{4}{x})dx
integral of sqrt(9x^2+4)	\int\:\sqrt{9x^{2}+4}dx
integral of x^2e^{x^{3/2}}	\int\:x^{2}e^{x^{\frac{3}{2}}}dx
integral of (4-2x)^3	\int\:(4-2x)^{3}dx
integral of (1+1/x)(1-4/(x^2))	\int\:(1+\frac{1}{x})(1-\frac{4}{x^{2}})dx
integral of x^3*(ln(x))^2	\int\:x^{3}\cdot\:(\ln(x))^{2}dx
integral of 1/((3x)^2+1)	\int\:\frac{1}{(3x)^{2}+1}dx
integral of 2t^2cos(t^3-2)	\int\:2t^{2}\cos(t^{3}-2)dt
integral of cot(x/a)	\int\:\cot(\frac{x}{a})dx
integral of x^2sec(x^3-1)tan(x^3-1)	\int\:x^{2}\sec(x^{3}-1)\tan(x^{3}-1)dx
integral of (4sqrt(y)+y)	\int\:(4\sqrt{y}+y)dy
integral of x\sqrt[5]{3-2x^2}	\int\:x\sqrt[5]{3-2x^{2}}dx
integral of (sin(2t))/2	\int\:\frac{\sin(2t)}{2}dt
integral of ((x^2-2x+1)/(x-1))^2	\int\:(\frac{x^{2}-2x+1}{x-1})^{2}dx
integral of 4xsqrt(5-x^2)	\int\:4x\sqrt{5-x^{2}}dx
integral of (2x^2-x+1)/(x(x^2+1))	\int\:\frac{2x^{2}-x+1}{x(x^{2}+1)}dx
integral of tan(x)*ln(cos(x))	\int\:\tan(x)\cdot\:\ln(\cos(x))dx
integral of sin(x)sin^2(x)	\int\:\sin(x)\sin^{2}(x)dx
integral of x^2sin(2x)	integral\:x^{2}\sin(2x)
integral of-sec^2(x)tan(x)	\int\:-\sec^{2}(x)\tan(x)dx
integral of 1-3x^2	\int\:1-3x^{2}dx
integral of (e^{3x})^2	\int\:(e^{3x})^{2}dx
integral of 1/((sin^3(x)cos(x)))	\int\:\frac{1}{(\sin^{3}(x)\cos(x))}dx
integral of (x+6)^5	\int\:(x+6)^{5}dx
integral of (x^2+1)/((x^3+3x)^{2/5)}	\int\:\frac{x^{2}+1}{(x^{3}+3x)^{\frac{2}{5}}}dx
integral of ((sqrt(x)-2x^2))/x	\int\:\frac{(\sqrt{x}-2x^{2})}{x}dx
integral of (x^{-3})/3	\int\:\frac{x^{-3}}{3}dx
integral of (3-x^3)/(x^2)	\int\:\frac{3-x^{3}}{x^{2}}dx
integral of e^{-x}(2x+1)	\int\:e^{-x}(2x+1)dx
integral of (\sqrt[3]{2x})/(sqrt(3x))	\int\:\frac{\sqrt[3]{2x}}{\sqrt{3x}}dx
integral of (2x+1)(1+x+x^2)^3	\int\:(2x+1)(1+x+x^{2})^{3}dx
integral of (8-3t)/(10t^2+13t-3)	\int\:\frac{8-3t}{10t^{2}+13t-3}dt
integral of 24x^{-1/5}tan(x^{4/5})	\int\:24x^{-\frac{1}{5}}\tan(x^{\frac{4}{5}})dx
integral of 7/(2+sqrt(x-4))	\int\:\frac{7}{2+\sqrt{x-4}}dx
integral of a/(sqrt(a^2-x^2))	\int\:\frac{a}{\sqrt{a^{2}-x^{2}}}dx
integral of y/(sqrt(y^2+16))	\int\:\frac{y}{\sqrt{y^{2}+16}}dy
integral of (x^2+1)/((x^3+3x-5)^3)	\int\:\frac{x^{2}+1}{(x^{3}+3x-5)^{3}}dx
integral of-5/(7tsqrt(49t^2-25))	\int\:-\frac{5}{7t\sqrt{49t^{2}-25}}dt
integral of 2xcos(sqrt(2x^2+3))	\int\:2x\cos(\sqrt{2x^{2}+3})dx
integral of (1+2cos(x))^2	\int\:(1+2\cos(x))^{2}dx
integral of 4x^3sqrt(x^4-7)	\int\:4x^{3}\sqrt{x^{4}-7}dx
integral of ((x+3))/(x^3+x^2-2x)	\int\:\frac{(x+3)}{x^{3}+x^{2}-2x}dx
integral of 6/(\sqrt[4]{4x-1)}	\int\:\frac{6}{\sqrt[4]{4x-1}}dx
integral of x/(sqrt(1+\sqrt[3]{x^2))}	\int\:\frac{x}{\sqrt{1+\sqrt[3]{x^{2}}}}dx
integral of ((x^2-1))/((x^4+1))	\int\:\frac{(x^{2}-1)}{(x^{4}+1)}dx
integral of 8sin^2(t)	\int\:8\sin^{2}(t)dt
integral of-cos^2(x)	integral\:-\cos^{2}(x)
integral of arctan(z)	\int\:\arctan(z)dz
integral of 6/t	\int\:\frac{6}{t}dt
integral of 1/((arctan(y/5))(25+y^2))	\int\:\frac{1}{(\arctan(\frac{y}{5}))(25+y^{2})}dy
integral of (sqrt(5)x-3)^4	\int\:(\sqrt{5}x-3)^{4}dx
integral of (cos(x)-,x)	\int\:(\cos(x)-,x)dx
integral of ((x-3))/((x-2)(x^2+1))	\int\:\frac{(x-3)}{(x-2)(x^{2}+1)}dx
integral of 3x(3x+2)(4x-1)	\int\:3x(3x+2)(4x-1)dx
integral of-1x	\int\:-1xdx
integral of ((x^2+5))/(2x)	\int\:\frac{(x^{2}+5)}{2x}dx
integral of 8x^3ln(x)	\int\:8x^{3}\ln(x)dx
integral of 1/((9x^4+x^2))	\int\:\frac{1}{(9x^{4}+x^{2})}dx
integral of 1/(2ln(x))	\int\:\frac{1}{2\ln(x)}dx
integral of 2x^{3/4}	\int\:2x^{\frac{3}{4}}dx
integral of sqrt((2-3x)/(2+3x))	\int\:\sqrt{\frac{2-3x}{2+3x}}dx
integral of (x^3+4x-1)/(x^2+5)	\int\:\frac{x^{3}+4x-1}{x^{2}+5}dx
integral of (sin(x))/(2x^2)	\int\:\frac{\sin(x)}{2x^{2}}dx
integral of xsin(x)cos(nx)	\int\:x\sin(x)\cos(nx)dx
integral of 1/(3-cos(x))	\int\:\frac{1}{3-\cos(x)}dx
integral of 3(8y-1)e^{4y^2-y}	\int\:3(8y-1)e^{4y^{2}-y}dy
integral of (-t)	\int\:(-t)dt
integral of (\sqrt[3]{x^4})/3	\int\:\frac{\sqrt[3]{x^{4}}}{3}dx
integral of ((e^x))/((6-e^x)^2)	\int\:\frac{(e^{x})}{(6-e^{x})^{2}}dx
integral of sin^5(x/2)cos(x/2)	\int\:\sin^{5}(\frac{x}{2})\cos(\frac{x}{2})dx
integral of (1+e^x)/(x^2)	\int\:\frac{1+e^{x}}{x^{2}}dx
integral of 2+x+ye^y	\int\:2+x+ye^{y}dy
integral of (x^3+5)^{100}(3x^2)	\int\:(x^{3}+5)^{100}(3x^{2})dx
integral of (ln(x))/((x^3*ln(x^3)))	\int\:\frac{\ln(x)}{(x^{3}\cdot\:\ln(x^{3}))}dx
integral of (3/(x^3)+2x^{5/2}-1)	\int\:(\frac{3}{x^{3}}+2x^{\frac{5}{2}}-1)dx

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