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Popular Calculus Problems

integral of (x^2-x+1)/(x+1)	\int\:\frac{x^{2}-x+1}{x+1}dx
integral of 1/(2^x)	integral\:\frac{1}{2^{x}}
integral of 1/((16+x^2))	\int\:\frac{1}{(16+x^{2})}dx
integral of (cos^5(x))	\int\:(\cos^{5}(x))dx
integral of x^2+x+4	\int\:x^{2}+x+4dx
integral of (7x^2+x+12)/(3x^3+12x)	\int\:\frac{7x^{2}+x+12}{3x^{3}+12x}dx
integral of (1-x^2)/(x^2(1+x^2))	\int\:\frac{1-x^{2}}{x^{2}(1+x^{2})}dx
integral of 8xe^{x^2+1}	\int\:8xe^{x^{2}+1}dx
integral of 1/(x*(1+x^2))	\int\:\frac{1}{x\cdot\:(1+x^{2})}dx
integral of (x^2+6x)/((x+3)^2)	\int\:\frac{x^{2}+6x}{(x+3)^{2}}dx
integral of 0/(x+2)	\int\:\frac{0}{x+2}dx
integral of 1/(5+4cos(2x))	\int\:\frac{1}{5+4\cos(2x)}dx
integral of (5sqrt(x)-6)	\int\:(5\sqrt{x}-6)dx
integral of (cos(2x-1))/(e^x)	\int\:\frac{\cos(2x-1)}{e^{x}}dx
integral of 4x^2(3x+1)^2	\int\:4x^{2}(3x+1)^{2}dx
integral of (e^x-1-x)	\int\:(e^{x}-1-x)dx
integral of (x^2)/(sqrt(-x^2+1))	\int\:\frac{x^{2}}{\sqrt{-x^{2}+1}}dx
integral of 1/((x+4)^4)	\int\:\frac{1}{(x+4)^{4}}dx
integral of tan(4x+8)	\int\:\tan(4x+8)dx
integral of cos(2x)sin(nx)	\int\:\cos(2x)\sin(nx)dx
integral of (8x)/((x^2+4)^2)	\int\:\frac{8x}{(x^{2}+4)^{2}}dx
integral of 1/(6y^4)	\int\:\frac{1}{6y^{4}}dy
integral of-3x^{-5}+7x^2-6x+3	\int\:-3x^{-5}+7x^{2}-6x+3dx
integral of (x-48)/((x+2)(x-3))	\int\:\frac{x-48}{(x+2)(x-3)}dx
integral of 1/((x^{2/3)+1)*x^{2/3}}	\int\:\frac{1}{(x^{\frac{2}{3}}+1)\cdot\:x^{\frac{2}{3}}}dx
integral of (-9x+27)/((x^2+2x+4)^2)	\int\:\frac{-9x+27}{(x^{2}+2x+4)^{2}}dx
integral of 7/(6x+8)	\int\:\frac{7}{6x+8}dx
integral of (x-2)/(x^2+4x+13)	\int\:\frac{x-2}{x^{2}+4x+13}dx
integral of 6x^2-4x+3	\int\:6x^{2}-4x+3dx
integral of 6e^{cos(x)}sin(x)	\int\:6e^{\cos(x)}\sin(x)dx
integral of 6x^6+3x^5+5x-4	\int\:6x^{6}+3x^{5}+5x-4dx
integral of (x^4+3)	\int\:(x^{4}+3)dx
integral of x(x-3)^{1/2}	\int\:x(x-3)^{\frac{1}{2}}dx
integral of (e^x)/(-8+e^x)	\int\:\frac{e^{x}}{-8+e^{x}}dx
integral of tan^2(x)-1	\int\:\tan^{2}(x)-1dx
integral of 1/((sqrt(x)ln(x))^2)	\int\:\frac{1}{(\sqrt{x}\ln(x))^{2}}dx
integral of (x^2)/(x^4+9)	\int\:\frac{x^{2}}{x^{4}+9}dx
integral of (x^2)/((x^2-a^2)^{3/2)}	\int\:\frac{x^{2}}{(x^{2}-a^{2})^{\frac{3}{2}}}dx
integral of (1+81x)^{1/2}	\int\:(1+81x)^{\frac{1}{2}}dx
integral of (x^2)/(sqrt((1-x^2)))	\int\:\frac{x^{2}}{\sqrt{(1-x^{2})}}dx
integral of (2x^3-4sqrt(x))/(sqrt(x^5))	\int\:\frac{2x^{3}-4\sqrt{x}}{\sqrt{x^{5}}}dx
integral of sin(7e^x)	\int\:\sin(7e^{x})dx
integral of ((x^2+13))/((x^2+16))	\int\:\frac{(x^{2}+13)}{(x^{2}+16)}dx
integral of (x^3+6x+1)	\int\:(x^{3}+6x+1)dx
integral of 8tan(4x)	\int\:8\tan(4x)dx
integral of 3/(sin(x))	\int\:\frac{3}{\sin(x)}dx
integral of x/(9x^2+4)	\int\:\frac{x}{9x^{2}+4}dx
integral of (-6x^2+3x+5)/(x^3-x)	\int\:\frac{-6x^{2}+3x+5}{x^{3}-x}dx
integral of (cos(x))/((1+cos(x)))	\int\:\frac{\cos(x)}{(1+\cos(x))}dx
integral of sqrt(x)(2+x)	\int\:\sqrt{x}(2+x)dx
integral of x^2+5x-3	\int\:x^{2}+5x-3dx
integral of (3x)/(sqrt(4x+7))	\int\:\frac{3x}{\sqrt{4x+7}}dx
integral of (x^2+1)/((2x-1)^3)	\int\:\frac{x^{2}+1}{(2x-1)^{3}}dx
integral of (x^3+3x)^8(x^2+1)	\int\:(x^{3}+3x)^{8}(x^{2}+1)dx
integral of (ln(x^4))/(x^7)	\int\:\frac{\ln(x^{4})}{x^{7}}dx
integral of-e^xsin(e^x)	\int\:-e^{x}\sin(e^{x})dx
integral of arcsinh(2x)	\int\:\arcsinh(2x)dx
integral of (x^3+5x^2-6x^5+4x)/x	\int\:\frac{x^{3}+5x^{2}-6x^{5}+4x}{x}dx
integral of 8x^2e^{3x}	\int\:8x^{2}e^{3x}dx
integral of (x+3)/((x-2)(x^2+1))	\int\:\frac{x+3}{(x-2)(x^{2}+1)}dx
integral of (x^3ln(sqrt(x)))/3	\int\:\frac{x^{3}\ln(\sqrt{x})}{3}dx
integral of x^{-1/2}+x^{3/2}	\int\:x^{-\frac{1}{2}}+x^{\frac{3}{2}}dx
integral of ((1-sqrt(x))^2)/(2x)	\int\:\frac{(1-\sqrt{x})^{2}}{2x}dx
integral of (-x^3+6x^2-9x)	\int\:(-x^{3}+6x^{2}-9x)dx
integral of ((tan(ln(x)))/x)	\int\:(\frac{\tan(\ln(x))}{x})dx
integral of (4x+10)/((x^2+5x+12)^2)	\int\:\frac{4x+10}{(x^{2}+5x+12)^{2}}dx
integral of xe^{-2x}-3/4	\int\:xe^{-2x}-\frac{3}{4}dx
integral of (ln(x^{34}))/x	\int\:\frac{\ln(x^{34})}{x}dx
integral of sqrt(e^{2x)+1}	\int\:\sqrt{e^{2x}+1}dx
integral of (e^{2x}+e^x+1)/(e^x)	\int\:\frac{e^{2x}+e^{x}+1}{e^{x}}dx
integral of 7x+6sin(x)	\int\:7x+6\sin(x)dx
integral of x^5x	\int\:x^{5}xdx
integral of (2e^x)/(e^{2x)-1}	\int\:\frac{2e^{x}}{e^{2x}-1}dx
integral of (2400x)(sqrt(3+2x))	\int\:(2400x)(\sqrt{3+2x})dx
integral of (x^2)/(sqrt(x^2+2x+10))	\int\:\frac{x^{2}}{\sqrt{x^{2}+2x+10}}dx
integral of 5xcos(7x)	\int\:5x\cos(7x)dx
integral of x^2-8x	\int\:x^{2}-8xdx
integral of ((1+sin(t))^3)/(cos(t))	\int\:\frac{(1+\sin(t))^{3}}{\cos(t)}dt
integral of 1/(sqrt(x+3)-\sqrt{x+2)}	\int\:\frac{1}{\sqrt{x+3}-\sqrt{x+2}}dx
integral of 2/(sqrt(x^2+4x+5))	\int\:\frac{2}{\sqrt{x^{2}+4x+5}}dx
integral of (1/(x^2)+5/(sqrt(x))-1)	\int\:(\frac{1}{x^{2}}+\frac{5}{\sqrt{x}}-1)dx
integral of-6x^6-4x^5+5x-3	\int\:-6x^{6}-4x^{5}+5x-3dx
integral of (16x+5)	\int\:(16x+5)dx
integral of-1/(x^6)	\int\:-\frac{1}{x^{6}}dx
integral of (ln(7x))	\int\:(\ln(7x))dx
integral of 4sqrt(x)+10	\int\:4\sqrt{x}+10dx
integral of sin(4pi)t	\int\:\sin(4π)tdt
integral of ((sqrt(ln(x))))/x	\int\:\frac{(\sqrt{\ln(x)})}{x}dx
integral of 3^x(1-2^x)	\int\:3^{x}(1-2^{x})dx
integral of (x^2)/(2!)	\int\:\frac{x^{2}}{2!}dx
integral of \sqrt[3]{x^5}x^{-4/3}(x^3-1)	\int\:\sqrt[3]{x^{5}}x^{-\frac{4}{3}}(x^{3}-1)dx
integral of 1/((5x+7)^2)	\int\:\frac{1}{(5x+7)^{2}}dx
integral of 4/5+3/4 x^2-6/7 x^3	\int\:\frac{4}{5}+\frac{3}{4}x^{2}-\frac{6}{7}x^{3}dx
integral of (e^{x/n}-a^{x/n})	\int\:(e^{\frac{x}{n}}-a^{\frac{x}{n}})dx
integral of sec^2(-0.578t)	\int\:\sec^{2}(-0.578t)dt
integral of xsqrt(1+1/4 x)	\int\:x\sqrt{1+\frac{1}{4}x}dx
integral of t+sin(t)	\int\:t+\sin(t)dt
integral of-sin(x)e^{-x}	\int\:-\sin(x)e^{-x}dx
integral of (e^{(sqrt(x))/2})/(sqrt(x))	\int\:\frac{e^{\frac{\sqrt{x}}{2}}}{\sqrt{x}}dx
integral of sqrt(4x^2+4x-3)	\int\:\sqrt{4x^{2}+4x-3}dx

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