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Popular Calculus Problems

integral of (x+2)/(x^2+2x-3)	\int\:\frac{x+2}{x^{2}+2x-3}dx
integral of-2x^5e^{x^6}	\int\:-2x^{5}e^{x^{6}}dx
integral of 1/(2xsqrt(ln(x)))	\int\:\frac{1}{2x\sqrt{\ln(x)}}dx
integral of 5xsqrt(5x^2-12)	\int\:5x\sqrt{5x^{2}-12}dx
integral of (1/5 x^3+3x^2-3/4 x+4)	\int\:(\frac{1}{5}x^{3}+3x^{2}-\frac{3}{4}x+4)dx
integral of (1-2x)/(sqrt(1-x^2))	\int\:\frac{1-2x}{\sqrt{1-x^{2}}}dx
integral of (x^2+5/x)^2	\int\:(x^{2}+\frac{5}{x})^{2}dx
integral of (ln(ln(6x)))/(xln(6x))	\int\:\frac{\ln(\ln(6x))}{x\ln(6x)}dx
integral of e^x+8sin(x)	\int\:e^{x}+8\sin(x)dx
integral of (-x-28)/((x-2)(x^2-2x+10))	\int\:\frac{-x-28}{(x-2)(x^{2}-2x+10)}dx
integral of 6xsqrt(x^2+4)	\int\:6x\sqrt{x^{2}+4}dx
integral of (2x-1)/(sqrt(x+3))	\int\:\frac{2x-1}{\sqrt{x+3}}dx
integral of 1/(25x^2+1)	\int\:\frac{1}{25x^{2}+1}dx
integral of (x-1)/(x^2+x)	\int\:\frac{x-1}{x^{2}+x}dx
integral of-3x^2+1x	\int\:-3x^{2}+1xdx
integral of 2x+1/x	\int\:2x+\frac{1}{x}dx
integral of x/(x^3-3x+2)	\int\:\frac{x}{x^{3}-3x+2}dx
integral of 5^xcos(x)	\int\:5^{x}\cos(x)dx
integral of tan(-x)	\int\:\tan(-x)dx
integral of (sqrt(16x^2-1))/(x^3)	\int\:\frac{\sqrt{16x^{2}-1}}{x^{3}}dx
integral of 2e^x+x^2	\int\:2e^{x}+x^{2}dx
integral of 1/((2+sin(x)))	\int\:\frac{1}{(2+\sin(x))}dx
integral of (x^2)/((x-1)^{10)}	\int\:\frac{x^{2}}{(x-1)^{10}}dx
integral of 1/(\sqrt[3]{y)+y}	\int\:\frac{1}{\sqrt[3]{y}+y}dy
integral of (x^3)/((x+3))	\int\:\frac{x^{3}}{(x+3)}dx
integral of 1/(sqrt((2-x^2)^3))	\int\:\frac{1}{\sqrt{(2-x^{2})^{3}}}dx
integral of xe^{x^2-1}+x^2-1	\int\:xe^{x^{2}-1}+x^{2}-1dx
integral of (sqrt(x)-1)^3	\int\:(\sqrt{x}-1)^{3}dx
integral of (sin(1/(x^8)))/(x^9)	\int\:\frac{\sin(\frac{1}{x^{8}})}{x^{9}}dx
integral of-5x^3e^{x^4}	\int\:-5x^{3}e^{x^{4}}dx
integral of 1/(xln(x)ln(x)ln(x))	\int\:\frac{1}{x\ln(x)\ln(x)\ln(x)}dx
integral of (x^3)/(csc(3x))	\int\:\frac{x^{3}}{\csc(3x)}dx
integral of x/(tan^2(x))	\int\:\frac{x}{\tan^{2}(x)}dx
integral of (1+e^x)/(1+e^{2x)}	\int\:\frac{1+e^{x}}{1+e^{2x}}dx
integral of ycos^2(y)	\int\:y\cos^{2}(y)dy
integral of x/(sqrt(5x^2-2x+1))	\int\:\frac{x}{\sqrt{5x^{2}-2x+1}}dx
integral of 1/(v^3)	\int\:\frac{1}{v^{3}}dv
integral of x/(sqrt(3x-1))	\int\:\frac{x}{\sqrt{3x-1}}dx
integral of (xsqrt(x))/(x+1)	\int\:\frac{x\sqrt{x}}{x+1}dx
integral of 5^{x^4+2x}(2x^3+1)	\int\:5^{x^{4}+2x}(2x^{3}+1)dx
integral of 3x^3e^{x^4}	\int\:3x^{3}e^{x^{4}}dx
integral of na^{sin(bx)}cos(bx)	\int\:na^{\sin(bx)}\cos(bx)dx
integral of (x+2)/(x^2+2x+3)	\int\:\frac{x+2}{x^{2}+2x+3}dx
integral of (e^x)/((e^x+1)^{13)}	\int\:\frac{e^{x}}{(e^{x}+1)^{13}}dx
integral of (3x^{b-1})/(a+x^b)	\int\:\frac{3x^{b-1}}{a+x^{b}}dx
integral of ln(xe^x)	\int\:\ln(xe^{x})dx
integral of (x^2)/(sqrt(1-4x^2))	\int\:\frac{x^{2}}{\sqrt{1-4x^{2}}}dx
integral of 2x^3+5/(x^2)-7/x	\int\:2x^{3}+\frac{5}{x^{2}}-\frac{7}{x}dx
integral of (12x^{3/4}-9x^{5/3})	\int\:(12x^{\frac{3}{4}}-9x^{\frac{5}{3}})dx
integral of (5x+1)/(sqrt(x^2-6x+5))	\int\:\frac{5x+1}{\sqrt{x^{2}-6x+5}}dx
integral of (3x^2+1)/x	\int\:\frac{3x^{2}+1}{x}dx
integral of (3x-7x^2)/x	\int\:\frac{3x-7x^{2}}{x}dx
integral of \|x\|-1	\int\:\left\|x\right\|-1dx
integral of sqrt((1-x)/(1+x))*1/x	\int\:\sqrt{\frac{1-x}{1+x}}\cdot\:\frac{1}{x}dx
integral of 9x^2e^{x^3}	\int\:9x^{2}e^{x^{3}}dx
integral of 1/(2x^2+2x+3)	\int\:\frac{1}{2x^{2}+2x+3}dx
integral of x/(sqrt(3x-x^2))	\int\:\frac{x}{\sqrt{3x-x^{2}}}dx
integral of sin^4(6x)cos^2(6x)	\int\:\sin^{4}(6x)\cos^{2}(6x)dx
integral of ((1+sqrt(x)+x))/x	\int\:\frac{(1+\sqrt{x}+x)}{x}dx
integral of t^2e^{7t}	\int\:t^{2}e^{7t}dt
integral of ((-4x-2)/((x-3)^2))	\int\:(\frac{-4x-2}{(x-3)^{2}})dx
integral of-5/(x(ln(x))^4)	\int\:-\frac{5}{x(\ln(x))^{4}}dx
integral of (sqrt(4x^2-9))/(x^2)	\int\:\frac{\sqrt{4x^{2}-9}}{x^{2}}dx
integral of 1/(2sin(x)+3cos(x))	\int\:\frac{1}{2\sin(x)+3\cos(x)}dx
integral of 8/(\sqrt[3]{x)}	\int\:\frac{8}{\sqrt[3]{x}}dx
integral of tsqrt(t^2+1)	\int\:t\sqrt{t^{2}+1}dt
integral of sqrt(((1-x))/((1+x)))	\int\:\sqrt{\frac{(1-x)}{(1+x)}}dx
integral of (x^3)/(sec(3x))	\int\:\frac{x^{3}}{\sec(3x)}dx
integral of (1-ln(x))/(x^2)	\int\:\frac{1-\ln(x)}{x^{2}}dx
integral of (x^5-x)/(x^8+1)	\int\:\frac{x^{5}-x}{x^{8}+1}dx
integral of cot^5(2x)csc^4(2x)	\int\:\cot^{5}(2x)\csc^{4}(2x)dx
integral of 1/((x^4))	\int\:\frac{1}{(x^{4})}dx
integral of ((x^2-5x+9))/(x^2-5x+6)	\int\:\frac{(x^{2}-5x+9)}{x^{2}-5x+6}dx
integral of (-4)/(x(ln(x))^3)	\int\:\frac{-4}{x(\ln(x))^{3}}dx
integral of (sqrt(2-x))/(sqrt(x))	\int\:\frac{\sqrt{2-x}}{\sqrt{x}}dx
integral of (x^2-3)(x+1)	\int\:(x^{2}-3)(x+1)dx
integral of (x^2)/(4+x^6)	\int\:\frac{x^{2}}{4+x^{6}}dx
integral of (7x^2+16)/(x^4+4x^2)	\int\:\frac{7x^{2}+16}{x^{4}+4x^{2}}dx
integral of 1/(x(ln(x)+1))	\int\:\frac{1}{x(\ln(x)+1)}dx
integral of 1/(cos(2x)+sin^2(x))	\int\:\frac{1}{\cos(2x)+\sin^{2}(x)}dx
integral of 9sin^5(x)cos(x)	\int\:9\sin^{5}(x)\cos(x)dx
integral of (3x^2+4)^2	\int\:(3x^{2}+4)^{2}dx
integral of (x^3+1)cos(x^4+4x)	\int\:(x^{3}+1)\cos(x^{4}+4x)dx
integral of 1/(x^6+x^4)	\int\:\frac{1}{x^{6}+x^{4}}dx
integral of (arctan(x))/((1+x^2))	\int\:\frac{\arctan(x)}{(1+x^{2})}dx
integral of cos^2(ωt+φ)	\int\:\cos^{2}(ωt+φ)dt
integral of (e^x)/(e^{2x)+8e^x+15}	\int\:\frac{e^{x}}{e^{2x}+8e^{x}+15}dx
integral of x/((sqrt(5-4x-x^2))^3)	\int\:\frac{x}{(\sqrt{5-4x-x^{2}})^{3}}dx
integral of e^{sqrt(x)}sqrt(x)	\int\:e^{\sqrt{x}}\sqrt{x}dx
integral of x/(x^2-2x+8)	\int\:\frac{x}{x^{2}-2x+8}dx
integral of (2x-1)/((x+1)^2(x-2)^2)	\int\:\frac{2x-1}{(x+1)^{2}(x-2)^{2}}dx
integral of sqrt(1+2x^2)	\int\:\sqrt{1+2x^{2}}dx
integral of (x-2)/(x^2-10x+106)	\int\:\frac{x-2}{x^{2}-10x+106}dx
integral of sec(2y)tan(2y)	\int\:\sec(2y)\tan(2y)dy
integral of 9(x^2+3x+5)(2x+3)	\int\:9(x^{2}+3x+5)(2x+3)dx
integral of 1/(x^4+5x^2+4)	\int\:\frac{1}{x^{4}+5x^{2}+4}dx
integral of 10sec^2(x)tan(x)	\int\:10\sec^{2}(x)\tan(x)dx
integral of x(1+x^2)^{11}	\int\:x(1+x^{2})^{11}dx
integral of (ln^2(x))/(sqrt(x^5))	\int\:\frac{\ln^{2}(x)}{\sqrt{x^{5}}}dx
integral of (x^5-x^3)	\int\:(x^{5}-x^{3})dx

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