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Popular Problems

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Popular Calculus Problems

integral of (12-9z)/(1-4z-4z^2)	\int\:\frac{12-9z}{1-4z-4z^{2}}dz
integral of (3x^2+1)/(1+(x^3+x)^2)	\int\:\frac{3x^{2}+1}{1+(x^{3}+x)^{2}}dx
integral of 1/(x^2-6x+18)	\int\:\frac{1}{x^{2}-6x+18}dx
integral of (xe^x)/(sqrt(49+e^x))	\int\:\frac{xe^{x}}{\sqrt{49+e^{x}}}dx
integral of (1+cos(2t))/(sin^2(t))	\int\:\frac{1+\cos(2t)}{\sin^{2}(t)}dt
integral of ((1-sin^2(x)))/(cos^3(x))	\int\:\frac{(1-\sin^{2}(x))}{\cos^{3}(x)}dx
integral of cot^5(6x)csc^7(6x)	\int\:\cot^{5}(6x)\csc^{7}(6x)dx
integral of x^3e^{nx}	\int\:x^{3}e^{nx}dx
integral of 2x(x^2-3)	\int\:2x(x^{2}-3)dx
integral of (2x+5)/((x+2)(x+3))	\int\:\frac{2x+5}{(x+2)(x+3)}dx
integral of sin^3(x/2)cos^3(x/2)	\int\:\sin^{3}(\frac{x}{2})\cos^{3}(\frac{x}{2})dx
integral of (v^2)/(v^6-1)	\int\:\frac{v^{2}}{v^{6}-1}dv
integral of sec^5(θ)tan^3(θ)	\int\:\sec^{5}(θ)\tan^{3}(θ)dθ
integral of xsin(2x^2-5)	\int\:x\sin(2x^{2}-5)dx
integral of sin^2(x)+sec^2(5x)	\int\:\sin^{2}(x)+\sec^{2}(5x)dx
integral of xsqrt(36-x^4)	\int\:x\sqrt{36-x^{4}}dx
integral of 5sin^5(x)cos^4(x)	\int\:5\sin^{5}(x)\cos^{4}(x)dx
integral of x^5e^{5x}	\int\:x^{5}e^{5x}dx
integral of ln^2(4/x)	\int\:\ln^{2}(\frac{4}{x})dx
integral of 8x-3sqrt(x)	\int\:8x-3\sqrt{x}dx
integral of uarctan(u)	\int\:u\arctan(u)du
integral of (x/(sqrt(2x^2+3)))	\int\:(\frac{x}{\sqrt{2x^{2}+3}})dx
integral of 2/(5-2x)	\int\:\frac{2}{5-2x}dx
integral of 9e^z	\int\:9e^{z}dz
integral of sin(x)(tan(x)-cot(x))^2	\int\:\sin(x)(\tan(x)-\cot(x))^{2}dx
integral of 5sec^2(2x)	\int\:5\sec^{2}(2x)dx
integral of-2x^2e^x	\int\:-2x^{2}e^{x}dx
integral of 6sin^2(x)cos^5(x)	\int\:6\sin^{2}(x)\cos^{5}(x)dx
integral of 1/6 cos(sqrt(x))	\int\:\frac{1}{6}\cos(\sqrt{x})dx
integral of (4x^3-3x^2+1)ln(x)	\int\:(4x^{3}-3x^{2}+1)\ln(x)dx
integral of (3x+4)/((x+1)(x+2))	\int\:\frac{3x+4}{(x+1)(x+2)}dx
integral of 1/(x+2+2sqrt(x))	\int\:\frac{1}{x+2+2\sqrt{x}}dx
integral of (cos(3x))/(5+2sin(3x))	\int\:\frac{\cos(3x)}{5+2\sin(3x)}dx
integral of 1/(sqrt(x)(x+9))	\int\:\frac{1}{\sqrt{x}(x+9)}dx
integral of (6x^2+12x+6)/(x^3+x^2-x-1)	\int\:\frac{6x^{2}+12x+6}{x^{3}+x^{2}-x-1}dx
integral of (3x-5)^{15}	\int\:(3x-5)^{15}dx
integral of 18x^2(sqrt(3x^2+5))	\int\:18x^{2}(\sqrt{3x^{2}+5})dx
integral of x*sqrt(x^2-2)	\int\:x\cdot\:\sqrt{x^{2}-2}dx
integral of (x^4)/((x+1)(x+2)(x+3))	\int\:\frac{x^{4}}{(x+1)(x+2)(x+3)}dx
integral of 1/(15-x^2)	\int\:\frac{1}{15-x^{2}}dx
integral of 6sin(2x+1)	\int\:6\sin(2x+1)dx
integral of (21)/(xsqrt(1+2x))	\int\:\frac{21}{x\sqrt{1+2x}}dx
integral of (16)/(x^2-16)	\int\:\frac{16}{x^{2}-16}dx
integral of (4x^2)/(e^{x^3)}	\int\:\frac{4x^{2}}{e^{x^{3}}}dx
integral of 3xsec^2(3x)	\int\:3x\sec^{2}(3x)dx
integral of xsec^2(x^2)tan^4(x^2)	\int\:x\sec^{2}(x^{2})\tan^{4}(x^{2})dx
integral of 2/(x(x^2+6)^2)	\int\:\frac{2}{x(x^{2}+6)^{2}}dx
integral of 3/2 x2^x	\int\:\frac{3}{2}x2^{x}dx
integral of (e^{5-(3y)/7})	\int\:(e^{5-\frac{3y}{7}})dy
integral of e^{-5p}	\int\:e^{-5p}dp
integral of x(2x^2+2)	\int\:x(2x^{2}+2)dx
integral of (x-2)/(x^5-x)	\int\:\frac{x-2}{x^{5}-x}dx
integral of (2x^{-3}+3x^{-2}+2)	\int\:(2x^{-3}+3x^{-2}+2)dx
integral of sinh(3x-1)	\int\:\sinh(3x-1)dx
integral of cos^3(x/4)	\int\:\cos^{3}(\frac{x}{4})dx
integral of (3x^2-3y^2)	\int\:(3x^{2}-3y^{2})dy
integral of ((2x+1)(x-2))/x	\int\:\frac{(2x+1)(x-2)}{x}dx
integral of (uln^2(1+u^2))/(1+u^2)	\int\:\frac{u\ln^{2}(1+u^{2})}{1+u^{2}}du
integral of 5/(5t-9)	\int\:\frac{5}{5t-9}dt
integral of (sin(2x)-cos(3x))^2	\int\:(\sin(2x)-\cos(3x))^{2}dx
integral of (ln\|4x^2\|)/x	\int\:\frac{\ln\left\|4x^{2}\right\|}{x}dx
integral of (2x-3)/(x^2-5x+6)	\int\:\frac{2x-3}{x^{2}-5x+6}dx
integral of x(1+x^2)^{3/2}	\int\:x(1+x^{2})^{\frac{3}{2}}dx
integral of (1/(e^{t/4)}-e^{t/4})^2	\int\:(\frac{1}{e^{\frac{t}{4}}}-e^{\frac{t}{4}})^{2}dt
integral of 10-(100)/(x+10)	\int\:10-\frac{100}{x+10}dx
integral of x(2x^2+1)^2	\int\:x(2x^{2}+1)^{2}dx
integral of cosh^4(x)sinh(x)	\int\:\cosh^{4}(x)\sinh(x)dx
integral of ((x^2-1)^2)/((x^2+1)^2)	\int\:\frac{(x^{2}-1)^{2}}{(x^{2}+1)^{2}}dx
integral of (8-t^3)/((t-3)(t+1)^2)	\int\:\frac{8-t^{3}}{(t-3)(t+1)^{2}}dt
integral of 1/(sqrt(x-6))	\int\:\frac{1}{\sqrt{x-6}}dx
integral of sin(pi)y	\int\:\sin(π)ydy
integral of 1/(2y+3)	\int\:\frac{1}{2y+3}dy
integral of (sec^4(1-x))/(tan^8(1-x))	\int\:\frac{\sec^{4}(1-x)}{\tan^{8}(1-x)}dx
integral of+x^4e^{3x}	\int\:+x^{4}e^{3x}dx
integral of (x^2+4x+2)/(3x^3+6x^2+3x)	\int\:\frac{x^{2}+4x+2}{3x^{3}+6x^{2}+3x}dx
integral of (e^{2x}+2)^{1/3}e^{2x}	\int\:(e^{2x}+2)^{\frac{1}{3}}e^{2x}dx
integral of xsqrt(x^2+x+1)	\int\:x\sqrt{x^{2}+x+1}dx
integral of (x-2)/(x^2+x)	\int\:\frac{x-2}{x^{2}+x}dx
integral of tan^2(3y)sec^6(3y)	\int\:\tan^{2}(3y)\sec^{6}(3y)dy
integral of (sec(sqrt(x))tan(sqrt(x)))/(sqrt(x))	\int\:\frac{\sec(\sqrt{x})\tan(\sqrt{x})}{\sqrt{x}}dx
integral of 1/(x(x^4+x^2+1)^2)	\int\:\frac{1}{x(x^{4}+x^{2}+1)^{2}}dx
integral of 1/9 x^{-7/9}	\int\:\frac{1}{9}x^{-\frac{7}{9}}dx
integral of (sin(x))/(sqrt((1-cos(x))))	\int\:\frac{\sin(x)}{\sqrt{(1-\cos(x))}}dx
integral of sin^2(x)*e^{-x}	\int\:\sin^{2}(x)\cdot\:e^{-x}dx
integral of (2x-3)e^{3x}	\int\:(2x-3)e^{3x}dx
integral of (7xe^{2x})/((1+2x)^2)	\int\:\frac{7xe^{2x}}{(1+2x)^{2}}dx
integral of (e^x-sec^2(x))	\int\:(e^{x}-\sec^{2}(x))dx
integral of (x^3)/(\sqrt[3]{x^2+4)}	\int\:\frac{x^{3}}{\sqrt[3]{x^{2}+4}}dx
integral of ln(6x+6x^2)	\int\:\ln(6x+6x^{2})dx
integral of (e^{2x}+2)^5e^{2x}	\int\:(e^{2x}+2)^{5}e^{2x}dx
integral of (sin(3x))^5cos(3x)	\int\:(\sin(3x))^{5}\cos(3x)dx
integral of tan(-1x)	\int\:\tan(-1x)dx
integral of (3sqrt(x^2-1))/x	\int\:\frac{3\sqrt{x^{2}-1}}{x}dx
integral of x^3(x^4+1)	\int\:x^{3}(x^{4}+1)dx
integral of 2/(x(x+2))	\int\:\frac{2}{x(x+2)}dx
integral of (4x+6)/(2x+1)	\int\:\frac{4x+6}{2x+1}dx
integral of 5cot^2(x)csc^4(x)	\int\:5\cot^{2}(x)\csc^{4}(x)dx
integral of y^6cos(3y)	\int\:y^{6}\cos(3y)dy
integral of sin(3x)cos(8x)	\int\:\sin(3x)\cos(8x)dx
integral of t^{1/4}	\int\:t^{\frac{1}{4}}dt

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