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Popular Calculus Problems

integral of x/2 cos(2x)	\int\:\frac{x}{2}\cos(2x)dx
integral of 1/4 sin(x)	\int\:\frac{1}{4}\sin(x)dx
integral of ((x+2)^3)/(x^2)	\int\:\frac{(x+2)^{3}}{x^{2}}dx
integral of 0.75x^2	\int\:0.75x^{2}dx
integral of (1+3x+7x^2-2x^3)/(x^2)	\int\:\frac{1+3x+7x^{2}-2x^{3}}{x^{2}}dx
integral of 0.75(1-x^2)	\int\:0.75(1-x^{2})dx
integral of ln^x(x	\int\:\ln^{x}(d)xdx
integral of 21xe^{-11x^2}	\int\:21xe^{-11x^{2}}dx
integral of (x+y)/(x-y)	\int\:\frac{x+y}{x-y}dx
integral of x/5	integral\:\frac{x}{5}
integral of (cos(2x))/(sin(2x)cos(2x))	\int\:\frac{\cos(2x)}{\sin(2x)\cos(2x)}dx
integral of (1/(1+e^{-x)})	\int\:(\frac{1}{1+e^{-x}})dx
integral of x^2sqrt(x^3-18)	\int\:x^{2}\sqrt{x^{3}-18}dx
integral of sin(x)cos(x)e^{sin^2(x+pi)}	\int\:\sin(x)\cos(x)e^{\sin^{2}(x+π)}dx
integral of (sin(8x))	\int\:(\sin(8x))dx
integral of (e^x+4^{(x+2)})	\int\:(e^{x}+4^{(x+2)})dx
integral of sqrt(x+y+1)	\int\:\sqrt{x+y+1}
integral of (x+1)/(3x^2)	\int\:\frac{x+1}{3x^{2}}dx
integral of (arcsin(z))/(sqrt(1-z^2))	\int\:\frac{\arcsin(z)}{\sqrt{1-z^{2}}}dz
integral of (5x+6)/(x^2+1)	\int\:\frac{5x+6}{x^{2}+1}dx
integral of 2*sqrt(x-1)	\int\:2\cdot\:\sqrt{x-1}dx
integral of 1/(\sqrt[5]{t^3)}	\int\:\frac{1}{\sqrt[5]{t^{3}}}dt
integral of (3x+4)/(1+x^2)	\int\:\frac{3x+4}{1+x^{2}}dx
integral of (x+4)/(x(x^2+4))	\int\:\frac{x+4}{x(x^{2}+4)}dx
integral of (cos(x))/(sin(x)+3)	\int\:\frac{\cos(x)}{\sin(x)+3}dx
integral of (1/(x+5))	\int\:(\frac{1}{x+5})dx
integral of 9/(1+t^2)	\int\:\frac{9}{1+t^{2}}dt
integral of 1/(xln(x^{15))}	\int\:\frac{1}{x\ln(x^{15})}dx
integral of (2-sqrt(cot(x)))^2csc^2(x)	\int\:(2-\sqrt{\cot(x)})^{2}\csc^{2}(x)dx
integral of (2x+6)/(x(x+1)^2)	\int\:\frac{2x+6}{x(x+1)^{2}}dx
integral of (5x+4)\sqrt[5]{1+8x+5x^2}	\int\:(5x+4)\sqrt[5]{1+8x+5x^{2}}dx
integral of e^{-x}arctan(e^x)	\int\:e^{-x}\arctan(e^{x})dx
integral of z^2(z-1)^4	\int\:z^{2}(z-1)^{4}dz
integral of 3xsqrt(25-x^2)	\int\:3x\sqrt{25-x^{2}}dx
integral of (4+x^2)(9-sqrt(x))	\int\:(4+x^{2})(9-\sqrt{x})dx
integral of 5x^4+3x^2+1	\int\:5x^{4}+3x^{2}+1dx
integral of x^6(x^7-8)^{10}	\int\:x^{6}(x^{7}-8)^{10}dx
integral of 3x^2+6x-2	\int\:3x^{2}+6x-2dx
integral of e^{3/2}	\int\:e^{\frac{3}{2}}dx
integral of ln(-3x)	\int\:\ln(-3x)dx
integral of (1-x)(7+x^2)	\int\:(1-x)(7+x^{2})dx
integral of-x^3+9x	\int\:-x^{3}+9xdx
integral of 6x^2+2x	\int\:6x^{2}+2xdx
integral of x^{-3}cos(1/x)	\int\:x^{-3}\cos(\frac{1}{x})dx
integral of (u^6-2u^5-u^3+2/7)	\int\:(u^{6}-2u^{5}-u^{3}+\frac{2}{7})du
integral of 3cos(5θ)	\int\:3\cos(5θ)dθ
integral of 1/((x^2-2x+4))	\int\:\frac{1}{(x^{2}-2x+4)}dx
integral of 5/(1-x^2)	\int\:\frac{5}{1-x^{2}}dx
integral of (sqrt(x^3)-3/(1+x^2))	\int\:(\sqrt{x^{3}}-\frac{3}{1+x^{2}})dx
integral of (e^{-9x})	\int\:(e^{-9x})dx
integral of x^b	\int\:x^{b}dx
integral of 6(t+2)^2	\int\:6(t+2)^{2}dt
integral of (5x^2+3x+13)/((x+1)(x^2+4))	\int\:\frac{5x^{2}+3x+13}{(x+1)(x^{2}+4)}dx
integral of 5(2x+1)	\int\:5(2x+1)dx
integral of 2/((2x-1)^2)	\int\:\frac{2}{(2x-1)^{2}}dx
integral of 18sin(3x)	\int\:18\sin(3x)dx
integral of x^6-x^3	\int\:x^{6}-x^{3}dx
integral of (2x+3)/(sqrt(2-3x^2))	\int\:\frac{2x+3}{\sqrt{2-3x^{2}}}dx
integral of cot(38x)	\int\:\cot(38x)dx
integral of arctan(sqrt(2x+1))	\int\:\arctan(\sqrt{2x+1})dx
integral of csc^2(x)x	\int\:\csc^{2}(x)xdx
integral of x^3(x^2+1)^{12}	\int\:x^{3}(x^{2}+1)^{12}dx
integral of (x^{3/2}+7)^8sqrt(x)	\int\:(x^{\frac{3}{2}}+7)^{8}\sqrt{x}dx
integral of 1/(t^2sqrt(361-t^2))	\int\:\frac{1}{t^{2}\sqrt{361-t^{2}}}dt
integral of y^2(7+y)^2	\int\:y^{2}(7+y)^{2}dy
integral of sin(3x)sec^2(cos(3x))	\int\:\sin(3x)\sec^{2}(\cos(3x))dx
integral of x/(sqrt(x^2-36))	\int\:\frac{x}{\sqrt{x^{2}-36}}dx
integral of 3x^4+5sqrt(x)+1/(x^3)	\int\:3x^{4}+5\sqrt{x}+\frac{1}{x^{3}}dx
integral of (3x)/(x^3+2x^2-5x-6)	\int\:\frac{3x}{x^{3}+2x^{2}-5x-6}dx
integral of (x^5+x^3+2)/(1+x^2)	\int\:\frac{x^{5}+x^{3}+2}{1+x^{2}}dx
integral of 4x-4x^3	\int\:4x-4x^{3}dx
integral of 2y^{-2}	\int\:2y^{-2}dy
integral of 10+(500)/(x+1)	\int\:10+\frac{500}{x+1}dx
integral of tan^{21}(x)sec^{22}(x)	\int\:\tan^{21}(x)\sec^{22}(x)dx
integral of 3/(1+2x)	\int\:\frac{3}{1+2x}dx
integral of (2xy+2y)	\int\:(2xy+2y)dx
integral of (sec(x/(14)))^2tan(x/(14))	\int\:(\sec(\frac{x}{14}))^{2}\tan(\frac{x}{14})dx
integral of x^{1/3}(2x+3)	\int\:x^{\frac{1}{3}}(2x+3)dx
integral of 4/(sqrt(x+1))	\int\:\frac{4}{\sqrt{x+1}}dx
integral of 1/(e^{3x)+1}	\int\:\frac{1}{e^{3x}+1}dx
integral of cos(2n)x	\int\:\cos(2n)xdx
integral of x(x-5)^2(x+1)	\int\:x(x-5)^{2}(x+1)dx
integral of-4xsin(2x)	\int\:-4x\sin(2x)dx
integral of (x-3)/(x+3)	\int\:\frac{x-3}{x+3}dx
integral of (x^2-x-2)/(x^4+x^2)	\int\:\frac{x^{2}-x-2}{x^{4}+x^{2}}dx
integral of arcsin(2x+1)	\int\:\arcsin(2x+1)dx
integral of csc(4x+1)cot(4x+1)	\int\:\csc(4x+1)\cot(4x+1)dx
integral of (4cos(2x))/(3-sin(2x))	\int\:\frac{4\cos(2x)}{3-\sin(2x)}dx
integral of sqrt((2-x)/x)	\int\:\sqrt{\frac{2-x}{x}}dx
integral of (x^{-2}-y)	\int\:(x^{-2}-y)dx
integral of 9-\|x\|	\int\:9-\left\|x\right\|dx
integral of (2^0-3^0)^pi	\int\:(2^{0}-3^{0})^{π}dx
integral of xsin(1-3x)	\int\:x\sin(1-3x)dx
integral of x^3+3^x+e^3	\int\:x^{3}+3^{x}+e^{3}dx
integral of (-3x^6+4x^5+4x^4+3)	\int\:(-3x^{6}+4x^{5}+4x^{4}+3)dx
integral of (3sin(y))	\int\:(3\sin(y))dy
integral of x^3+x^2y	\int\:x^{3}+x^{2}ydy
integral of sqrt((x^2)/4+(3x)/4+2)	\int\:\sqrt{\frac{x^{2}}{4}+\frac{3x}{4}+2}dx
integral of x^3log_{e}(x)	\int\:x^{3}\log_{e}(x)dx
integral of 2x^2e^{3x+1}	\int\:2x^{2}e^{3x+1}dx

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