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Popular Calculus Problems

integral of (t-1)(2+t^2)	\int\:(t-1)(2+t^{2})dt
integral of (sin(2x))/(sqrt(2-cos(2x)))	\int\:\frac{\sin(2x)}{\sqrt{2-\cos(2x)}}dx
integral of y*cos(y)	\int\:y\cdot\:\cos(y)dy
integral of 2cos(x)sin(2x)	\int\:2\cos(x)\sin(2x)dx
integral of (sin(19x))/(1+cos^2(19x))	\int\:\frac{\sin(19x)}{1+\cos^{2}(19x)}dx
integral of (2x+6)/(sqrt(16-6x-x^2))	\int\:\frac{2x+6}{\sqrt{16-6x-x^{2}}}dx
integral of cot(2x)csc^{5/2}(2x)	\int\:\cot(2x)\csc^{\frac{5}{2}}(2x)dx
integral of 3/(sec(x))	\int\:\frac{3}{\sec(x)}dx
integral of (3x^2-2x)(x^3-x^2+1)^3	\int\:(3x^{2}-2x)(x^{3}-x^{2}+1)^{3}dx
integral of ((sqrt(x)+2)^9)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+2)^{9}}{2\sqrt{x}}dx
integral of 1/x+4cos(5/x)	\int\:\frac{1}{x}+4\cos(\frac{5}{x})dx
integral of x/((cos(x^2))^2)	\int\:\frac{x}{(\cos(x^{2}))^{2}}dx
integral of-5x^2(3x-8)^4	\int\:-5x^{2}(3x-8)^{4}dx
integral of 2/(2-x^2)	\int\:\frac{2}{2-x^{2}}dx
integral of 1/(1+\frac{1){x^2}}	\int\:\frac{1}{1+\frac{1}{x^{2}}}dx
integral of (sec^2(5x))/(1-tan(5x))	\int\:\frac{\sec^{2}(5x)}{1-\tan(5x)}dx
integral of (1+tan(x))sec^2(x)	\int\:(1+\tan(x))\sec^{2}(x)dx
integral of sin(46x)sec^2(cos(46x))	\int\:\sin(46x)\sec^{2}(\cos(46x))dx
integral of (3x-1)/(\sqrt[3]{1-2x+3x^2)}	\int\:\frac{3x-1}{\sqrt[3]{1-2x+3x^{2}}}dx
integral of (sin^2(x))/(sin(x))	\int\:\frac{\sin^{2}(x)}{\sin(x)}dx
integral of (x^3)/3-e^{-x}+1	\int\:\frac{x^{3}}{3}-e^{-x}+1dx
integral of (8x^2)/(e^{2x)}	\int\:\frac{8x^{2}}{e^{2x}}dx
integral of 2xsqrt(1+x)	\int\:2x\sqrt{1+x}dx
integral of e^xcos(n)x	\int\:e^{x}\cos(n)xdx
integral of (5/(sqrt(1-x^2))-2/(x^2+1))	\int\:(\frac{5}{\sqrt{1-x^{2}}}-\frac{2}{x^{2}+1})dx
integral of x^2sqrt(r^2-x^2)	\int\:x^{2}\sqrt{r^{2}-x^{2}}dx
integral of x^2-3y^2	\int\:x^{2}-3y^{2}dy
integral of tan(x)*(sec(x))^2	\int\:\tan(x)\cdot\:(\sec(x))^{2}dx
integral of sqrt(x)*(x+1)	\int\:\sqrt{x}\cdot\:(x+1)dx
integral of (38-5x)-28	\int\:(38-5x)-28dx
integral of (x^9-1)/(x^4)	\int\:\frac{x^{9}-1}{x^{4}}dx
integral of 1/(x^3sqrt(ln(x)))	\int\:\frac{1}{x^{3}\sqrt{\ln(x)}}dx
integral of (x^2-4x+1)/(x^2+1)	\int\:\frac{x^{2}-4x+1}{x^{2}+1}dx
integral of x^3(2x^4+1)^2	\int\:x^{3}(2x^{4}+1)^{2}dx
integral of 1/x (sqrt(x)+ln(x))	\int\:\frac{1}{x}(\sqrt{x}+\ln(x))dx
integral of (x^2-x^4)	\int\:(x^{2}-x^{4})dx
integral of ((x+6)^2)/(x^3)	\int\:\frac{(x+6)^{2}}{x^{3}}dx
integral of (2x+2)/(x^2+2x+10)	\int\:\frac{2x+2}{x^{2}+2x+10}dx
integral of (8x^3+16x)/((x^2+4)^2)	\int\:\frac{8x^{3}+16x}{(x^{2}+4)^{2}}dx
integral of (3x^2+2x+3)/(x^2+1)	\int\:\frac{3x^{2}+2x+3}{x^{2}+1}dx
integral of csc(x)csc(x)	\int\:\csc(x)\csc(x)dx
integral of 0^pisqrt(sin(x)-sin^3(x))	\int\:0^{π}\sqrt{\sin(x)-\sin^{3}(x)}dx
integral of (-4)/(x^2-3x+2)	\int\:\frac{-4}{x^{2}-3x+2}dx
integral of 9x^3(2x^4-6)^7	\int\:9x^{3}(2x^{4}-6)^{7}dx
integral of (2-t^2)sqrt(6t-t^3)	\int\:(2-t^{2})\sqrt{6t-t^{3}}dt
integral of (7x-5)^4	\int\:(7x-5)^{4}dx
integral of x/((x^2+r^2)^{3/2)}	\int\:\frac{x}{(x^{2}+r^{2})^{\frac{3}{2}}}dx
integral of (t^2)/(60)(t^3-5)^4+19	\int\:\frac{t^{2}}{60}(t^{3}-5)^{4}+19dt
integral of (6x+9)/(3x^2+9x)	\int\:\frac{6x+9}{3x^{2}+9x}dx
integral of sin(x)+cos^2(x)	\int\:\sin(x)+\cos^{2}(x)dx
integral of sqrt(x)ln(7x)	\int\:\sqrt{x}\ln(7x)dx
integral of 1/((2-5x)^3)	\int\:\frac{1}{(2-5x)^{3}}dx
integral of (z^2)/(\sqrt[3]{9+z^3)}	\int\:\frac{z^{2}}{\sqrt[3]{9+z^{3}}}dz
integral of ln(sqrt(t))	\int\:\ln(\sqrt{t})dt
integral of (4x)/(x-2)	\int\:\frac{4x}{x-2}dx
integral of 2xy^3+1	\int\:2xy^{3}+1dx
integral of x(1+x^2)^9	\int\:x(1+x^{2})^{9}dx
integral of ln(10)	\int\:\ln(10)
integral of (-8)/(x+\sqrt[3]{x)}	\int\:\frac{-8}{x+\sqrt[3]{x}}dx
integral of 3xe^{1/2 x^2}	\int\:3xe^{\frac{1}{2}x^{2}}dx
integral of x^3sqrt(x^3)	\int\:x^{3}\sqrt{x^{3}}dx
integral of 1/((x-1)(x+2)^2)	\int\:\frac{1}{(x-1)(x+2)^{2}}dx
integral of (-x+2)/(x^2+2x)	\int\:\frac{-x+2}{x^{2}+2x}dx
integral of x(x-8)^3	\int\:x(x-8)^{3}dx
integral of 9tan(3x)ln(sec(3x))	\int\:9\tan(3x)\ln(\sec(3x))dx
integral of (2x+3)/(x^2+4)	\int\:\frac{2x+3}{x^{2}+4}dx
integral of-6e^{2sin(x)}cos(x)	\int\:-6e^{2\sin(x)}\cos(x)dx
integral of (2^x-3^x)/(5^x)	\int\:\frac{2^{x}-3^{x}}{5^{x}}dx
integral of 2x^3\sqrt[5]{3x^4+7}	\int\:2x^{3}\sqrt[5]{3x^{4}+7}dx
integral of (y+3)/(y-2)	\int\:\frac{y+3}{y-2}dy
integral of (1-x)/(2sqrt(x))	\int\:\frac{1-x}{2\sqrt{x}}dx
integral of-6/(x^2+1)	\int\:-\frac{6}{x^{2}+1}dx
integral of (1+sin(2x))/(cos(x)+sin(x))	\int\:\frac{1+\sin(2x)}{\cos(x)+\sin(x)}dx
integral of (g(sqrt(x)))/(sqrt(x))	\int\:\frac{g(\sqrt{x})}{\sqrt{x}}dx
integral of (sec(x))/(2sec^2(x)-1)	\int\:\frac{\sec(x)}{2\sec^{2}(x)-1}dx
integral of (x^2-1)^{-3/2}	\int\:(x^{2}-1)^{-\frac{3}{2}}dx
integral of sqrt(1/2+x^4+1/(16x^4))	\int\:\sqrt{\frac{1}{2}+x^{4}+\frac{1}{16x^{4}}}dx
integral of 1/((sqrt(a^2+r^2))^3)	\int\:\frac{1}{(\sqrt{a^{2}+r^{2}})^{3}}dr
integral of 1/(zsqrt(z^2-1))	\int\:\frac{1}{z\sqrt{z^{2}-1}}dz
integral of (x^7-2x)/(x^5)	\int\:\frac{x^{7}-2x}{x^{5}}dx
integral of sec^2(x)sqrt(1+tan(x))	\int\:\sec^{2}(x)\sqrt{1+\tan(x)}dx
integral of ((2x^2+3))/((x^2+1)^2)	\int\:\frac{(2x^{2}+3)}{(x^{2}+1)^{2}}dx
integral of (e^{-ax})	\int\:(e^{-ax})dx
integral of csc(pix)cot(pix)+2	\int\:\csc(πx)\cot(πx)+2dx
integral of x^4sqrt(15+x^5)	\int\:x^{4}\sqrt{15+x^{5}}dx
integral of (e^t+2)/(e^t+2t)	\int\:\frac{e^{t}+2}{e^{t}+2t}dt
integral of sqrt(3x+3)	\int\:\sqrt{3x+3}dx
integral of (6-4xe^x)/x	\int\:\frac{6-4xe^{x}}{x}dx
integral of 8x^2	integral\:8x^{2}
integral of (-2x^3)/(x^3+1)	\int\:\frac{-2x^{3}}{x^{3}+1}dx
integral of 8x(4x^2+5)^4	\int\:8x(4x^{2}+5)^{4}dx
integral of sqrt(25-3x)	\int\:\sqrt{25-3x}dx
integral of x/(1+ax)	\int\:\frac{x}{1+ax}dx
integral of 3+2y	\int\:3+2ydy
integral of 3^{ln(x)}	\int\:3^{\ln(x)}dx
integral of (3yln(y^2-5))/(y^2-5)	\int\:\frac{3y\ln(y^{2}-5)}{y^{2}-5}dy
integral of (1/2 sec^2(x)+x)	\int\:(\frac{1}{2}\sec^{2}(x)+x)dx
integral of 1/2000 e^{-x/(2000)}	\int\:\frac{1}{2000}e^{-\frac{x}{2000}}dx
integral of (3e^x)/(\sqrt[4]{e^x-1)}	\int\:\frac{3e^{x}}{\sqrt[4]{e^{x}-1}}dx
integral of-10-5x^2	\int\:-10-5x^{2}dx

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