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Popular Calculus Problems

integral of (x^2+4)cos(5x)	\int\:(x^{2}+4)\cos(5x)dx
integral of (2x^3-1)/(sqrt(3x^4-6x+9))	\int\:\frac{2x^{3}-1}{\sqrt{3x^{4}-6x+9}}dx
integral of (sin(x))/(\sqrt[3]{cos(x))}	\int\:\frac{\sin(x)}{\sqrt[3]{\cos(x)}}dx
integral of cos(x/3)sin(x/2)	\int\:\cos(\frac{x}{3})\sin(\frac{x}{2})dx
integral of a/(1-cos(bx))	\int\:\frac{a}{1-\cos(bx)}dx
integral of 200-0.02x	\int\:200-0.02xdx
integral of x*sec^2(4x)	\int\:x\cdot\:\sec^{2}(4x)dx
integral of 2/3 e^{-2x}	\int\:\frac{2}{3}e^{-2x}dx
integral of (sin(2x))/(2sin(x)cos^2(x))	\int\:\frac{\sin(2x)}{2\sin(x)\cos^{2}(x)}dx
integral of 2^{-x}tanh(2^{1-x})	\int\:2^{-x}\tanh(2^{1-x})dx
integral of (4e^x)/(7-3e^x)	\int\:\frac{4e^{x}}{7-3e^{x}}dx
integral of e^{1/3 x^2-2x}(4/3 x-4)	\int\:e^{\frac{1}{3}x^{2}-2x}(\frac{4}{3}x-4)dx
integral of cos(6x)cos(4x)cos(2x)	\int\:\cos(6x)\cos(4x)\cos(2x)dx
integral of (1+\sqrt[3]{sin(t)})cos^3(t)	\int\:(1+\sqrt[3]{\sin(t)})\cos^{3}(t)dt
integral of 3x^2(x^3+5)^9	\int\:3x^{2}(x^{3}+5)^{9}dx
integral of (1-x^2)/((x+1)(x-3)^2(2x+1))	\int\:\frac{1-x^{2}}{(x+1)(x-3)^{2}(2x+1)}dx
integral of (2x)/(sqrt(1-x^2-x^4))	\int\:\frac{2x}{\sqrt{1-x^{2}-x^{4}}}dx
integral of 7^xx	\int\:7^{x}xdx
integral of 1/(x^2)sqrt((1-x)/(1+x))	\int\:\frac{1}{x^{2}}\sqrt{\frac{1-x}{1+x}}dx
integral of (2x)/(x-5)	\int\:\frac{2x}{x-5}dx
integral of (x^2+4x)^5(x+2)	\int\:(x^{2}+4x)^{5}(x+2)dx
integral of (x+1)/((x-3)^3)	\int\:\frac{x+1}{(x-3)^{3}}dx
integral of (x^2)/(sqrt(x^2+19))	\int\:\frac{x^{2}}{\sqrt{x^{2}+19}}dx
integral of (x-2)/(sqrt(x^2+2x+5))	\int\:\frac{x-2}{\sqrt{x^{2}+2x+5}}dx
integral of (3x^2)/(1-x^3)	\int\:\frac{3x^{2}}{1-x^{3}}dx
integral of 7sec^5(x)	\int\:7\sec^{5}(x)dx
integral of e^{(x^2)}	integral\:e^{(x^{2})}
integral of (9^x)/(3^{x+2)}	\int\:\frac{9^{x}}{3^{x+2}}dx
integral of (e^{arctan(4x)})/(1+16x^2)	\int\:\frac{e^{\arctan(4x)}}{1+16x^{2}}dx
integral of (2x+1)sin(5x)	\int\:(2x+1)\sin(5x)dx
integral of (x/4-3)^{15}	\int\:(\frac{x}{4}-3)^{15}dx
integral of sqrt(1+cos(y))	\int\:\sqrt{1+\cos(y)}dy
integral of 4xcsc^2(x)	\int\:4x\csc^{2}(x)dx
integral of (x^2+1)/((x^3+3x+5)^3)	\int\:\frac{x^{2}+1}{(x^{3}+3x+5)^{3}}dx
integral of 1/2 ln(3x+1)	\int\:\frac{1}{2}\ln(3x+1)dx
integral of 1/((xln(x^3)))	\int\:\frac{1}{(x\ln(x^{3}))}dx
integral of (sqrt(x))/(\sqrt[7]{x^3)}	\int\:\frac{\sqrt{x}}{\sqrt[7]{x^{3}}}dx
integral of 1/(sqrt(-3-12x-9x^2))	\int\:\frac{1}{\sqrt{-3-12x-9x^{2}}}dx
integral of sqrt(x+1)cos(sqrt(x+1)^3+2)	\int\:\sqrt{x+1}\cos(\sqrt{x+1}^{3}+2)dx
integral of ((x-4)^2)/(2x^4)	\int\:\frac{(x-4)^{2}}{2x^{4}}dx
integral of 1/((x+1)sqrt(x+3))	\int\:\frac{1}{(x+1)\sqrt{x+3}}dx
integral of 6x^2(2x^3-3)^3	\int\:6x^{2}(2x^{3}-3)^{3}dx
integral of sqrt(a^2+b^2x^2)	\int\:\sqrt{a^{2}+b^{2}x^{2}}dx
integral of n^2sqrt(4+n)	\int\:n^{2}\sqrt{4+n}dn
integral of (2x^3-1)/(x^3)	\int\:\frac{2x^{3}-1}{x^{3}}dx
integral of (x^2)/(x^2-2)	\int\:\frac{x^{2}}{x^{2}-2}dx
integral of t/(sqrt(8-t^2))	\int\:\frac{t}{\sqrt{8-t^{2}}}dt
integral of e^{-3x}cos(7x)	\int\:e^{-3x}\cos(7x)dx
integral of ((8x-11))/(sqrt(5+2x-x^2))	\int\:\frac{(8x-11)}{\sqrt{5+2x-x^{2}}}dx
integral of sqrt(t)+1/(t^3)+7/(t^2)	\int\:\sqrt{t}+\frac{1}{t^{3}}+\frac{7}{t^{2}}dt
integral of (2sin(x))/(sin(2x))	\int\:\frac{2\sin(x)}{\sin(2x)}dx
integral of (2x)/(sqrt(x^2-2x+3))	\int\:\frac{2x}{\sqrt{x^{2}-2x+3}}dx
integral of (3sin^2(θ/2)+1/2)	\int\:(3\sin^{2}(\frac{θ}{2})+\frac{1}{2})dθ
integral of e^{2x}+1/(e^{5x)}	\int\:e^{2x}+\frac{1}{e^{5x}}dx
integral of (xsqrt(1-x))/(sqrt(2-x))	\int\:\frac{x\sqrt{1-x}}{\sqrt{2-x}}dx
integral of (1-ye^{-x})	\int\:(1-ye^{-x})dx
integral of sqrt(z)(4(z-1)^2+1/(z^3))	\int\:\sqrt{z}(4(z-1)^{2}+\frac{1}{z^{3}})dz
integral of (2x^2-4)	\int\:(2x^{2}-4)dx
integral of (10x)/((x^2-8)^4)	\int\:\frac{10x}{(x^{2}-8)^{4}}dx
integral of-8/(x+4)	\int\:-\frac{8}{x+4}dx
integral of (2x^{-3/2}+x^2-x^{-1/2})	\int\:(2x^{-\frac{3}{2}}+x^{2}-x^{-\frac{1}{2}})dx
integral of 1/(sqrt(9x^2-6x+2))	\int\:\frac{1}{\sqrt{9x^{2}-6x+2}}dx
integral of (3x-2)/(x^2+2x+17)	\int\:\frac{3x-2}{x^{2}+2x+17}dx
integral of 1/(36x^2-1)	\int\:\frac{1}{36x^{2}-1}dx
integral of 7(cos(4x))^3	\int\:7(\cos(4x))^{3}dx
integral of (11x^2+5x-4)/(2x^3-x^2)	\int\:\frac{11x^{2}+5x-4}{2x^{3}-x^{2}}dx
integral of x^2sqrt(x^3-5)	\int\:x^{2}\sqrt{x^{3}-5}dx
integral of (x+1)/(x^4+3x^2)	\int\:\frac{x+1}{x^{4}+3x^{2}}dx
integral of (x^2)/(x^2+4x+5)	\int\:\frac{x^{2}}{x^{2}+4x+5}dx
integral of (4x^2+9x-1)/(x^3+2x^2-x-2)	\int\:\frac{4x^{2}+9x-1}{x^{3}+2x^{2}-x-2}dx
integral of+e^{-jwt}	\int\:+e^{-jwt}dt
integral of 1/((3x-2)^6)	\int\:\frac{1}{(3x-2)^{6}}dx
integral of cos^5(7x)sin(7x)	\int\:\cos^{5}(7x)\sin(7x)dx
integral of 5x^3(x^4+5)^4	\int\:5x^{3}(x^{4}+5)^{4}dx
integral of pi/2 cos((pix)/2)	\int\:\frac{π}{2}\cos(\frac{πx}{2})dx
integral of (7x^5-8x^2+1)/((x+1)(x^2+4))	\int\:\frac{7x^{5}-8x^{2}+1}{(x+1)(x^{2}+4)}dx
integral of 2/(x(x^2+3)^2)	\int\:\frac{2}{x(x^{2}+3)^{2}}dx
integral of (12x^2)/(sqrt(81-x^2))	\int\:\frac{12x^{2}}{\sqrt{81-x^{2}}}dx
integral of (x^3+x)3^{x^4+2x^2}	\int\:(x^{3}+x)3^{x^{4}+2x^{2}}dx
integral of x^2ln(2x+1)	\int\:x^{2}\ln(2x+1)dx
integral of 1/(9+4v^2)	\int\:\frac{1}{9+4v^{2}}dv
integral of (x^2+1)/(x^3+9x)	\int\:\frac{x^{2}+1}{x^{3}+9x}dx
integral of (16x^3-14x+6)	\int\:(16x^{3}-14x+6)dx
integral of 6^xx	\int\:6^{x}xdx
integral of 9/(1+9x^2)	\int\:\frac{9}{1+9x^{2}}dx
integral of ((sin(x)-cos(x)))/(cos(x))	\int\:\frac{(\sin(x)-\cos(x))}{\cos(x)}dx
integral of sqrt(2y)-1/(sqrt(2y))	\int\:\sqrt{2y}-\frac{1}{\sqrt{2y}}dy
integral of ((0.5x-0.1)^4)/(0.4)	\int\:\frac{(0.5x-0.1)^{4}}{0.4}dx
integral of 8x^2(3x^3-1)^{16}	\int\:8x^{2}(3x^{3}-1)^{16}dx
integral of (tan(x))/(1+cos^4(x))	\int\:\frac{\tan(x)}{1+\cos^{4}(x)}dx
integral of 1/(sqrt(x-2))	integral\:\frac{1}{\sqrt{x-2}}
integral of (sec^2(x))/(1+9tan^2(x))	\int\:\frac{\sec^{2}(x)}{1+9\tan^{2}(x)}dx
integral of 1/((100+x^2)^{3/2)}	\int\:\frac{1}{(100+x^{2})^{\frac{3}{2}}}dx
integral of (5tan(x))/(tan(x)-2)	\int\:\frac{5\tan(x)}{\tan(x)-2}dx
integral of 1/(x^7-4x^5+6x^3-4x)	\int\:\frac{1}{x^{7}-4x^{5}+6x^{3}-4x}dx
integral of 3^x2^x	\int\:3^{x}2^{x}dx
integral of 5/(4-sqrt(3-z))	\int\:\frac{5}{4-\sqrt{3-z}}dz
integral of 2/(xsqrt(x-2))	\int\:\frac{2}{x\sqrt{x-2}}dx
integral of (16t^2+16t+4)	\int\:(16t^{2}+16t+4)dt
integral of (6x-5)/(sqrt(2-3x))	\int\:\frac{6x-5}{\sqrt{2-3x}}dx

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