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Popular Calculus Problems

integral of 4e^{-st}	\int\:4e^{-st}dt
integral of 5sin(x^4)	\int\:5\sin(x^{4})dx
integral of-(30)/(x^2)	\int\:-\frac{30}{x^{2}}dx
integral of (5x^2+6x^{-2})	\int\:(5x^{2}+6x^{-2})dx
integral of 1/(xln^p(x))	\int\:\frac{1}{x\ln^{p}(x)}dx
integral of (sec(mx)+tan(mx))^2	\int\:(\sec(mx)+\tan(mx))^{2}dx
integral of (5x^3+2sqrt(x)+1/(x^3))	\int\:(5x^{3}+2\sqrt{x}+\frac{1}{x^{3}})dx
integral of (x+3)/((x^2+2x+3)^2)	\int\:\frac{x+3}{(x^{2}+2x+3)^{2}}dx
integral of ce^{-ax}	\int\:ce^{-ax}dx
integral of-e^{5x}csc^2(e^{5x})	\int\:-e^{5x}\csc^{2}(e^{5x})dx
integral of (sin(e^{-x}))/(-2e^{3x)}	\int\:\frac{\sin(e^{-x})}{-2e^{3x}}dx
integral of (e^{6x})/x	\int\:\frac{e^{6x}}{x}dx
integral of e^{6s}	\int\:e^{6s}ds
integral of (xsec(x^3))^2	\int\:(x\sec(x^{3}))^{2}dx
integral of (x/3-1)^9	\int\:(\frac{x}{3}-1)^{9}dx
integral of (9x^2+1/(sqrt(x^3)))	\int\:(9x^{2}+\frac{1}{\sqrt{x^{3}}})dx
integral of (ln(x))/(x(ln^2(x)-ln(x)+1))	\int\:\frac{\ln(x)}{x(\ln^{2}(x)-\ln(x)+1)}dx
integral of 7/((x-1)(x+6))	\int\:\frac{7}{(x-1)(x+6)}dx
integral of (sec^2(x))/((tan(x)+pi)^3)	\int\:\frac{\sec^{2}(x)}{(\tan(x)+π)^{3}}dx
integral of (x^2+2x+1)/(x^4+2x^2+1)	\int\:\frac{x^{2}+2x+1}{x^{4}+2x^{2}+1}dx
integral of ln(x)+tan(x)	\int\:\ln(x)+\tan(x)dx
integral of (x+3)/(x^4+1)	\int\:\frac{x+3}{x^{4}+1}dx
integral of (e^t)/(4+e^t)	\int\:\frac{e^{t}}{4+e^{t}}dt
integral of ((t+9)^2)/(t^2)	\int\:\frac{(t+9)^{2}}{t^{2}}dt
integral of sec^2(x)cos^2(x)	\int\:\sec^{2}(x)\cos^{2}(x)dx
integral of sin(5\times 1+1)	\int\:\sin(5\times\:1+1)dx
integral of x^3*ln(x^2)	\int\:x^{3}\cdot\:\ln(x^{2})dx
integral of e^{-st}(t^2e^{3t})	\int\:e^{-st}(t^{2}e^{3t})dt
integral of sin(sqrt(x)) 1/(sqrt(x))	\int\:\sin(\sqrt{x})\frac{1}{\sqrt{x}}dx
integral of (x^2)/((x-8)(x^2-64))	\int\:\frac{x^{2}}{(x-8)(x^{2}-64)}dx
integral of-x^2-x+12	\int\:-x^{2}-x+12dx
integral of t^3e^{-4t}	\int\:t^{3}e^{-4t}dt
integral of 6/13 x^{13/7}	\int\:\frac{6}{13}x^{\frac{13}{7}}dx
integral of (5x^2+x)/((20x^3+6x^2)^2)	\int\:\frac{5x^{2}+x}{(20x^{3}+6x^{2})^{2}}dx
integral of (-1)/(x^6)	\int\:\frac{-1}{x^{6}}dx
integral of x^3(x^2-5)^{1/2}	\int\:x^{3}(x^{2}-5)^{\frac{1}{2}}dx
integral of 2cos(2x)e^{sin(2x)}	\int\:2\cos(2x)e^{\sin(2x)}dx
integral of cos(inx)	\int\:\cos(inx)dx
integral of (8+4x)/((x+2)^2)	\int\:\frac{8+4x}{(x+2)^{2}}dx
integral of sin(9x)cos(9x)	\int\:\sin(9x)\cos(9x)dx
integral of 28x^6e^{x^7}	\int\:28x^{6}e^{x^{7}}dx
integral of-1/(e^t)	\int\:-\frac{1}{e^{t}}dt
integral of 4x^2e^{6x}	\int\:4x^{2}e^{6x}dx
integral of (1+tan^2(x))/(sec^2(x))-1	\int\:\frac{1+\tan^{2}(x)}{\sec^{2}(x)}-1dx
integral of x^{sqrt(a)}+1/(x^b)+c^3	\int\:x^{\sqrt{a}}+\frac{1}{x^{b}}+c^{3}dx
integral of 13sin^{-3/2}(x)cos^3(x)	\int\:13\sin^{-\frac{3}{2}}(x)\cos^{3}(x)dx
integral of 8+2x-x^2	\int\:8+2x-x^{2}dx
integral of 1/(x+sqrt(x-1))	\int\:\frac{1}{x+\sqrt{x-1}}dx
integral of 3x^2-60x+400	\int\:3x^{2}-60x+400dx
integral of 9x^2-34x+25	\int\:9x^{2}-34x+25dx
integral of x^3-4x^2+x+6	\int\:x^{3}-4x^{2}+x+6dx
integral of x^{1/2}*ln(x)	\int\:x^{\frac{1}{2}}\cdot\:\ln(x)dx
integral of (x-3)sin(x)	\int\:(x-3)\sin(x)dx
integral of (x+3)^2-(x^2+1)^2	\int\:(x+3)^{2}-(x^{2}+1)^{2}dx
integral of (sqrt(1+4ln(x)))/x	\int\:\frac{\sqrt{1+4\ln(x)}}{x}dx
integral of sin(arcsin(x))	\int\:\sin(\arcsin(x))dx
integral of 4(1-x)^3	\int\:4(1-x)^{3}dx
integral of 2e^t-3cos(t)+C	\int\:2e^{t}-3\cos(t)+Cdt
integral of y/(y-2)	\int\:\frac{y}{y-2}dy
integral of 3z^2ln(z)	\int\:3z^{2}\ln(z)dz
integral of r^3cos^2(θ)	\int\:r^{3}\cos^{2}(θ)dr
integral of (x^3+3x)/(x^2-3x-10)	\int\:\frac{x^{3}+3x}{x^{2}-3x-10}dx
integral of 1/(x^{2-4)}	\int\:\frac{1}{x^{2-4}}dx
integral of x^4*e^{(1-x^5)}	\int\:x^{4}\cdot\:e^{(1-x^{5})}dx
integral of (10)/(9x^2)	\int\:\frac{10}{9x^{2}}dx
integral of (3x+1)/(x^2+2x)	\int\:\frac{3x+1}{x^{2}+2x}dx
integral of \sqrt[6]{7}+\sqrt[6]{x}	\int\:\sqrt[6]{7}+\sqrt[6]{x}dx
integral of t(t^2+1)^2	\int\:t(t^{2}+1)^{2}dt
integral of sqrt(5x^{-45)}	\int\:\sqrt{5x^{-45}}dx
integral of-2x^{-1/2}	\int\:-2x^{-\frac{1}{2}}dx
integral of 6-6x	\int\:6-6xdx
integral of 1/((cos(x)-sin(x)))	\int\:\frac{1}{(\cos(x)-\sin(x))}dx
integral of (1/2 x-1)	\int\:(\frac{1}{2}x-1)dx
integral of sin((pix)/6)	\int\:\sin(\frac{πx}{6})dx
integral of \sqrt[3]{x}+1	\int\:\sqrt[3]{x}+1dx
integral of 1/(7-9x)	\int\:\frac{1}{7-9x}dx
integral of x/(x^2+x+4)	\int\:\frac{x}{x^{2}+x+4}dx
integral of (7/x-5/(x^6))	\int\:(\frac{7}{x}-\frac{5}{x^{6}})dx
integral of (x^3-x)/(x^2)	\int\:\frac{x^{3}-x}{x^{2}}dx
integral of 20+0.2q	\int\:20+0.2qdq
integral of (sin(40x))/(1+cos^2(40x))	\int\:\frac{\sin(40x)}{1+\cos^{2}(40x)}dx
integral of e^xsin(e^x-2)	\int\:e^{x}\sin(e^{x}-2)dx
integral of cos(2/5 x)	\int\:\cos(\frac{2}{5}x)dx
integral of (6(csc(t))^2)/(cot(t))	\int\:\frac{6(\csc(t))^{2}}{\cot(t)}dt
integral of 4/(x+9)	\int\:\frac{4}{x+9}dx
integral of (1+2x)/(x^4+x^2)	\int\:\frac{1+2x}{x^{4}+x^{2}}dx
integral of ((sec^2(x)))/(1+tan(x))	\int\:\frac{(\sec^{2}(x))}{1+\tan(x)}dx
integral of cos(x)sin(x)sin(x)	\int\:\cos(x)\sin(x)\sin(x)dx
integral of 1/((x+1)sqrt(1-x))	\int\:\frac{1}{(x+1)\sqrt{1-x}}dx
integral of 1/(1-2t^2)	\int\:\frac{1}{1-2t^{2}}dt
integral of sqrt(x^5)+\sqrt[5]{x^7}	\int\:\sqrt{x^{5}}+\sqrt[5]{x^{7}}dx
integral of 2arctan(4y)	\int\:2\arctan(4y)dy
integral of x^5*e^{-x^3}	\int\:x^{5}\cdot\:e^{-x^{3}}dx
integral of (16x\sqrt[3]{x^2+10})/3	\int\:\frac{16x\sqrt[3]{x^{2}+10}}{3}dx
integral of e^{-x^9}	\int\:e^{-x^{9}}dx
integral of 1/((x-3)(x+1))	\int\:\frac{1}{(x-3)(x+1)}dx
integral of x*cosh(x)	\int\:x\cdot\:\cosh(x)dx
integral of rivative of sin(x)+10	\int\:\frac{d}{dx}(\sin(x))+10dx
integral of (3x^2+2x)^2	\int\:(3x^{2}+2x)^{2}dx
integral of (3x+5)/((x^2+4x+5)^2)	\int\:\frac{3x+5}{(x^{2}+4x+5)^{2}}dx

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