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Popular Calculus Problems

integral of x2x	\int\:xd^{2}xdx
integral of (2x^2)/(sqrt(x^2+1))	\int\:\frac{2x^{2}}{\sqrt{x^{2}+1}}dx
integral of x/(cos^2(2x^2))	\int\:\frac{x}{\cos^{2}(2x^{2})}dx
integral of sqrt(1+(3/2 \sqrt{x))^2}	\int\:\sqrt{1+(\frac{3}{2}\sqrt{x})^{2}}dx
integral of ysin(2x)	\int\:y\sin(2x)dx
integral of (x^2+1)sin(x^3+3x)	\int\:(x^{2}+1)\sin(x^{3}+3x)dx
integral of 6x^2y-3xsqrt(y)	\int\:6x^{2}y-3x\sqrt{y}dx
integral of 4x^2+6	\int\:4x^{2}+6dx
integral of 9x-x^3	\int\:9x-x^{3}dx
integral of (20y^3)/(5y^4+1)	\int\:\frac{20y^{3}}{5y^{4}+1}dy
integral of ((4+sqrt(x)+x)/x)	\int\:(\frac{4+\sqrt{x}+x}{x})dx
integral of (x+25)^{-2}	\int\:(x+25)^{-2}dx
integral of (4x^3-12x)(x^4-6x^2)^{-3}	\int\:(4x^{3}-12x)(x^{4}-6x^{2})^{-3}dx
integral of (x^4+2x^2-x+9)/(x^5+2x^4)	\int\:\frac{x^{4}+2x^{2}-x+9}{x^{5}+2x^{4}}dx
integral of xsqrt(5x^2+7)	\int\:x\sqrt{5x^{2}+7}dx
integral of 1/((3x-5)^8)	\int\:\frac{1}{(3x-5)^{8}}dx
integral of (1-x^5)/(x(1+x^5))	\int\:\frac{1-x^{5}}{x(1+x^{5})}dx
integral of (8+e^{-5x})/(e^{5x)}	\int\:\frac{8+e^{-5x}}{e^{5x}}dx
integral of sec^2(θ)e^{6tan(θ)}	\int\:\sec^{2}(θ)e^{6\tan(θ)}dθ
integral of (e^{-x}sin(x))/2	\int\:\frac{e^{-x}\sin(x)}{2}dx
integral of (e^x)/(sqrt(3-5e^x))	\int\:\frac{e^{x}}{\sqrt{3-5e^{x}}}dx
integral of 1/(1-ln(x))	\int\:\frac{1}{1-\ln(x)}dx
integral of (3x+4)^5	\int\:(3x+4)^{5}dx
integral of (2x^3+5sqrt(x)+1/(x^3))	\int\:(2x^{3}+5\sqrt{x}+\frac{1}{x^{3}})dx
integral of (6x^2-8)/((x^3-4x-1)^7)	\int\:\frac{6x^{2}-8}{(x^{3}-4x-1)^{7}}dx
integral of x*e^{sin(x^2)}cos(x^2)	\int\:x\cdot\:e^{\sin(x^{2})}\cos(x^{2})dx
integral of t*ln(t)	\int\:t\cdot\:\ln(t)dt
integral of (x+2)/(x^2+4x+3)	\int\:\frac{x+2}{x^{2}+4x+3}dx
integral of (-1)/((x^2+1)^2)	\int\:\frac{-1}{(x^{2}+1)^{2}}dx
integral of-e^{-t}+2	\int\:-e^{-t}+2dt
integral of 2x^2e^{4x}	\int\:2x^{2}e^{4x}dx
integral of x^4sqrt(2+x^5)	\int\:x^{4}\sqrt{2+x^{5}}dx
integral of (cos(3x))/(sqrt(5+6sin(3x)))	\int\:\frac{\cos(3x)}{\sqrt{5+6\sin(3x)}}dx
integral of sec^2(5x)2^{tan(5x)}	\int\:\sec^{2}(5x)2^{\tan(5x)}dx
integral of 1/((x+2)^2(x+1))	\int\:\frac{1}{(x+2)^{2}(x+1)}dx
integral of (2+2x)e^{4x+2x^2}	\int\:(2+2x)e^{4x+2x^{2}}dx
integral of (2x+3)/(x(x^2+x+2))	\int\:\frac{2x+3}{x(x^{2}+x+2)}dx
integral of (3x^2)/(2sqrt(5-3x^3))	\int\:\frac{3x^{2}}{2\sqrt{5-3x^{3}}}dx
integral of (sqrt(y)+1/(sqrt(y)))	\int\:(\sqrt{y}+\frac{1}{\sqrt{y}})dy
integral of (ln(2x+1))/(2x+1)	\int\:\frac{\ln(2x+1)}{2x+1}dx
integral of (4x)/(2x^2+6)	\int\:\frac{4x}{2x^{2}+6}dx
integral of sqrt(2-cos(x))sin(x)	\int\:\sqrt{2-\cos(x)}\sin(x)dx
integral of sec^2(θ)sin^3(θ)	\int\:\sec^{2}(θ)\sin^{3}(θ)dθ
integral of 1/(sqrt(x)(1+\sqrt[4]{x))}	\int\:\frac{1}{\sqrt{x}(1+\sqrt[4]{x})}dx
integral of 50x^2	\int\:50x^{2}dx
integral of (x^{1.6}+7x^{2.5})	\int\:(x^{1.6}+7x^{2.5})dx
integral of (sin(x^2))/(x^2)	\int\:\frac{\sin(x^{2})}{x^{2}}dx
integral of (2x^3)/((2+x^2)^3)	\int\:\frac{2x^{3}}{(2+x^{2})^{3}}dx
integral of 1/(4-cos^2(x))	\int\:\frac{1}{4-\cos^{2}(x)}dx
integral of (2+4x)/(1+x^2)	\int\:\frac{2+4x}{1+x^{2}}dx
integral of 10cos(t)+sec^2(t)	\int\:10\cos(t)+\sec^{2}(t)dt
integral of 4x^3e^{x^2}	\int\:4x^{3}e^{x^{2}}dx
integral of x^2)	\int\:d(x^{2})dx
integral of (x^2+2x-2)/(x^3-x^2-2x)	\int\:\frac{x^{2}+2x-2}{x^{3}-x^{2}-2x}dx
integral of (5x)/(x^2+2)	\int\:\frac{5x}{x^{2}+2}dx
integral of (6x)/(sqrt(1-x^2))	\int\:\frac{6x}{\sqrt{1-x^{2}}}dx
integral of x^{15}ln(3x^8)	\int\:x^{15}\ln(3x^{8})dx
integral of e^{-t^2}	integral\:e^{-t^{2}}
integral of sec^{11}(θ)tan(θ)	\int\:\sec^{11}(θ)\tan(θ)dθ
integral of ((sqrt(x)+8)^7)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+8)^{7}}{2\sqrt{x}}dx
integral of x(5x-3)^9	\int\:x(5x-3)^{9}dx
integral of 3/(sqrt(1-4x^2))	\int\:\frac{3}{\sqrt{1-4x^{2}}}dx
integral of (3ln(x))/(x^4)	\int\:\frac{3\ln(x)}{x^{4}}dx
integral of (x+x^{-1})	\int\:(x+x^{-1})dx
integral of 1/(x^2sqrt(13-x^2))	\int\:\frac{1}{x^{2}\sqrt{13-x^{2}}}dx
integral of (2^x)/(1-4^x)	\int\:\frac{2^{x}}{1-4^{x}}dx
integral of (2x)/(x^2+k)	\int\:\frac{2x}{x^{2}+k}dx
integral of (4sqrt(x^3)+9\sqrt[3]{x^2})	\int\:(4\sqrt{x^{3}}+9\sqrt[3]{x^{2}})dx
integral of 1/((x^2-1)(x^2-4))	\int\:\frac{1}{(x^{2}-1)(x^{2}-4)}dx
integral of (xe^x)/(sqrt(e^x+1))	\int\:\frac{xe^{x}}{\sqrt{e^{x}+1}}dx
integral of x^3sqrt(15+x^4)	\int\:x^{3}\sqrt{15+x^{4}}dx
integral of 1/(\sqrt[4]{x^5)}	\int\:\frac{1}{\sqrt[4]{x^{5}}}dx
integral of (1-1/x)cos(x-ln(x))	\int\:(1-\frac{1}{x})\cos(x-\ln(x))dx
integral of 1/(-x^2-x+2)	\int\:\frac{1}{-x^{2}-x+2}dx
integral of ln^2(y)	\int\:\ln^{2}(y)dy
integral of x^4sqrt(x)	\int\:x^{4}\sqrt{x}dx
integral of xarcsin(4x)	\int\:x\arcsin(4x)dx
integral of (x^4)/(1+x^5)	\int\:\frac{x^{4}}{1+x^{5}}dx
integral of (4/(x^3)+2/x)	\int\:(\frac{4}{x^{3}}+\frac{2}{x})dx
integral of (7x)/(e^{2x)}	\int\:\frac{7x}{e^{2x}}dx
integral of (e^{3ln(x)})/x	\int\:\frac{e^{3\ln(x)}}{x}dx
integral of (4x^3)/(sqrt(x^2+4))	\int\:\frac{4x^{3}}{\sqrt{x^{2}+4}}dx
integral of ((arctan(5x)))/(1+25x^2)	\int\:\frac{(\arctan(5x))}{1+25x^{2}}dx
integral of (12x^2e^{-4xy}-5x+1)	\int\:(12x^{2}e^{-4xy}-5x+1)dy
integral of sqrt(x^2+36)	\int\:\sqrt{x^{2}+36}dx
integral of x/((ln(x))^2)	\int\:\frac{x}{(\ln(x))^{2}}dx
integral of (x+e^x)	\int\:(x+e^{x})dx
integral of 1/(x(ln(x))^{7/3)}	\int\:\frac{1}{x(\ln(x))^{\frac{7}{3}}}dx
integral of ((9+x)^2)/(x^2)	\int\:\frac{(9+x)^{2}}{x^{2}}dx
integral of 1/2 x^2\sqrt[5]{x^3-8}	\int\:\frac{1}{2}x^{2}\sqrt[5]{x^{3}-8}dx
integral of ln^2(z)	\int\:\ln^{2}(z)dz
integral of 1/(x(2x+3)^2)	\int\:\frac{1}{x(2x+3)^{2}}dx
integral of sin(3/2)xsin(1/2)x	\int\:\sin(\frac{3}{2})x\sin(\frac{1}{2})xdx
integral of x/(4x^2+4x+5)	\int\:\frac{x}{4x^{2}+4x+5}dx
integral of 2/3 x^{3/2} 1/x	\int\:\frac{2}{3}x^{\frac{3}{2}}\frac{1}{x}dx
integral of sec^4(x)sqrt(cot^3(x))	\int\:\sec^{4}(x)\sqrt{\cot^{3}(x)}dx
integral of (x^2+2x+1)e^{7x}	\int\:(x^{2}+2x+1)e^{7x}dx
integral of x^3sqrt(b^2-x^2)	\int\:x^{3}\sqrt{b^{2}-x^{2}}dx
integral of (-5)/(sqrt(x))	\int\:\frac{-5}{\sqrt{x}}dx
integral of (5ln(x^2))/x	\int\:\frac{5\ln(x^{2})}{x}dx

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