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Popular Calculus Problems

integral of 1/(x^2+sqrt(2)x+1)	\int\:\frac{1}{x^{2}+\sqrt{2}x+1}dx
integral of 5x^2-3x	\int\:5x^{2}-3xdx
integral of (1-x)/(x^2+2x-4)	\int\:\frac{1-x}{x^{2}+2x-4}dx
integral of u^2sqrt(1-u^3)	\int\:u^{2}\sqrt{1-u^{3}}du
integral of 2x^2ln(-4x)	\int\:2x^{2}\ln(-4x)dx
integral of ln(e^{3x})	\int\:\ln(e^{3x})dx
integral of cos(4)(x)	\int\:\cos(4)(x)dx
integral of 1/((sqrt(x)(1+x)))	\int\:\frac{1}{(\sqrt{x}(1+x))}dx
integral of 6x^2	integral\:6x^{2}
integral of x^2(x^3+4)^{-1/2}	\int\:x^{2}(x^{3}+4)^{-\frac{1}{2}}dx
integral of 2cos(x)+5/x	\int\:2\cos(x)+\frac{5}{x}dx
integral of 1/x-5/(16x^2+1)	\int\:\frac{1}{x}-\frac{5}{16x^{2}+1}dx
integral of e^{cos(x)}sin(x)cos(x)	\int\:e^{\cos(x)}\sin(x)\cos(x)dx
integral of 1/((x^2+a^2)^3)	\int\:\frac{1}{(x^{2}+a^{2})^{3}}dx
integral of x/(x^4+6x^2+13)	\int\:\frac{x}{x^{4}+6x^{2}+13}dx
integral of (2x+1)/(x^3+9x)	\int\:\frac{2x+1}{x^{3}+9x}dx
integral of 3ax^2	\int\:3ax^{2}dx
integral of 4/((x+1)^2(x-1))	\int\:\frac{4}{(x+1)^{2}(x-1)}dx
integral of (sin^2(x)+sin(x))cos(x)	\int\:(\sin^{2}(x)+\sin(x))\cos(x)dx
integral of 9x-3	\int\:9x-3dx
integral of (3x-1)/(x+2)	\int\:\frac{3x-1}{x+2}dx
integral of tan^2(4x)cos^4(4x)	\int\:\tan^{2}(4x)\cos^{4}(4x)dx
integral of 10^x	integral\:10^{x}
integral of tan(2x-6)	\int\:\tan(2x-6)dx
integral of (5x^2+2)	\int\:(5x^{2}+2)dx
integral of sin(2)(x)cos(x)	\int\:\sin(2)(x)\cos(x)dx
integral of (e^{7x-3})/1	\int\:\frac{e^{7x-3}}{1}dx
integral of 1/(25-16x^2)	\int\:\frac{1}{25-16x^{2}}dx
integral of sec(25x)tan(25x)	\int\:\sec(25x)\tan(25x)dx
integral of (2x-1)(6x^2-6x+1)^{1/3}	\int\:(2x-1)(6x^{2}-6x+1)^{\frac{1}{3}}dx
integral of x^4sqrt(x^5-4)	\int\:x^{4}\sqrt{x^{5}-4}dx
integral of 1/((\sqrt[3]{x)+sqrt(x))}	\int\:\frac{1}{(\sqrt[3]{x}+\sqrt{x})}dx
integral of 4cos^2(2x)	\int\:4\cos^{2}(2x)dx
integral of 1/((1-x)x^2)	\int\:\frac{1}{(1-x)x^{2}}dx
integral of (x^{5/2}+2x^{3/2}-x)	\int\:(x^{\frac{5}{2}}+2x^{\frac{3}{2}}-x)dx
integral of (xe^{2x})/((1+2x))	\int\:\frac{xe^{2x}}{(1+2x)}dx
integral of x^3(2-x^2)^2	\int\:x^{3}(2-x^{2})^{2}dx
integral of sec(t)(9sec(t)+5tan(t))	\int\:\sec(t)(9\sec(t)+5\tan(t))dt
integral of 32x*e^{8x^2}	\int\:32x\cdot\:e^{8x^{2}}dx
integral of x^9ln(8x)	\int\:x^{9}\ln(8x)dx
integral of sin(x)+e^{2x}	\int\:\sin(x)+e^{2x}dx
integral of 4cot(x)	\int\:4\cot(x)dx
integral of (-15+2/(sqrt(x)))	\int\:(-15+\frac{2}{\sqrt{x}})dx
integral of ((2x+1))/(sqrt(x))	\int\:\frac{(2x+1)}{\sqrt{x}}dx
integral of (x^3)/((5-x^4)^2)	\int\:\frac{x^{3}}{(5-x^{4})^{2}}dx
integral of cos(x^4)x^3	\int\:\cos(x^{4})x^{3}dx
integral of 1/(sqrt(16+9x^2))	\int\:\frac{1}{\sqrt{16+9x^{2}}}dx
integral of 1/(sqrt(a^2-b^2x^2))	\int\:\frac{1}{\sqrt{a^{2}-b^{2}x^{2}}}dx
integral of (2y)/(y^2-6)	\int\:\frac{2y}{y^{2}-6}dy
integral of t/x	\int\:\frac{t}{x}dx
integral of (y^2sqrt(y))	\int\:(y^{2}\sqrt{y})dy
integral of 9x^2-10x	\int\:9x^{2}-10xdx
integral of ((3x^3-4x-2))/(x^3)	\int\:\frac{(3x^{3}-4x-2)}{x^{3}}dx
integral of x^2+sec^2(x)	\int\:x^{2}+\sec^{2}(x)dx
integral of x/(\sqrt[3]{x^2+4)}	\int\:\frac{x}{\sqrt[3]{x^{2}+4}}dx
integral of 6/(\|x\|*sqrt(x^2-1))	\int\:\frac{6}{\left\|x\right\|\cdot\:\sqrt{x^{2}-1}}dx
integral of-12sin^2(x)	\int\:-12\sin^{2}(x)dx
integral of e^{(2-s)t}	\int\:e^{(2-s)t}dt
integral of (-5)/(x^2)	\int\:\frac{-5}{x^{2}}dx
integral of tan(x/2)sec^3(x/2)	\int\:\tan(\frac{x}{2})\sec^{3}(\frac{x}{2})dx
integral of 2p^3-5p+1	\int\:2p^{3}-5p+1dp
integral of (30)/x	\int\:\frac{30}{x}dx
integral of (t-1)/(t^4+6t^3+9t^2)	\int\:\frac{t-1}{t^{4}+6t^{3}+9t^{2}}dt
integral of (In(x))/(sqrt(x))	\int\:\frac{In(x)}{\sqrt{x}}dx
integral of (-x)/(x^2+3)	\int\:\frac{-x}{x^{2}+3}dx
integral of (sqrt(e^x))/(1+e^x)	\int\:\frac{\sqrt{e^{x}}}{1+e^{x}}dx
integral of 6x^4tan(3x^5)	\int\:6x^{4}\tan(3x^{5})dx
integral of (x+1)e^{2+x}	\int\:(x+1)e^{2+x}dx
integral of (xln(x^2))	\int\:(x\ln(x^{2}))dx
integral of (y^2cos(z)-2ze^x)	\int\:(y^{2}\cos(z)-2ze^{x})dz
integral of x^2*ln(5x)	\int\:x^{2}\cdot\:\ln(5x)dx
integral of 1/(xsqrt(4-x))	\int\:\frac{1}{x\sqrt{4-x}}dx
integral of (y+1)sqrt(1-y)	\int\:(y+1)\sqrt{1-y}dy
integral of xe^{-x/a}	\int\:xe^{-\frac{x}{a}}dx
integral of a/(b^{3t)}	\int\:\frac{a}{b^{3t}}dt
integral of 1/(2x^3+x^2-x)	\int\:\frac{1}{2x^{3}+x^{2}-x}dx
integral of ln(x)(1/x)	\int\:\ln(x)(\frac{1}{x})dx
integral of x/(20)	\int\:\frac{x}{20}dx
integral of sec(2-x)tan(2-x)	\int\:\sec(2-x)\tan(2-x)dx
integral of (x^4+1)/((x-1)(x^2+1))	\int\:\frac{x^{4}+1}{(x-1)(x^{2}+1)}dx
integral of (-9)/(xsqrt(x+1))	\int\:\frac{-9}{x\sqrt{x+1}}dx
integral of (3x)/(sqrt(7-25x^4))	\int\:\frac{3x}{\sqrt{7-25x^{4}}}dx
integral of sqrt(x^2+y)	\int\:\sqrt{x^{2}+y}dx
integral of (x^{-3/2})	\int\:(x^{-\frac{3}{2}})dx
integral of (5sqrt(x^2-9))/(x^3)	\int\:\frac{5\sqrt{x^{2}-9}}{x^{3}}dx
integral of 45x	\int\:45xdx
integral of (x^5-8x)^2(5x^4-8)	\int\:(x^{5}-8x)^{2}(5x^{4}-8)dx
integral of (e^{6x}+4)/(e^{6x)+e^{-6x}}	\int\:\frac{e^{6x}+4}{e^{6x}+e^{-6x}}dx
integral of t	integral\:t
integral of (10sqrt(x^2-9))/(x^3)	\int\:\frac{10\sqrt{x^{2}-9}}{x^{3}}dx
integral of 6y^4x^2cos(x^3)	\int\:6y^{4}x^{2}\cos(x^{3})dx
integral of 2x^9	\int\:2x^{9}dx
integral of x/(sqrt(x^4+25))	\int\:\frac{x}{\sqrt{x^{4}+25}}dx
integral of (x^2+x+6)/(x-2)	\int\:\frac{x^{2}+x+6}{x-2}dx
integral of \sqrt[3]{x}-1/x	\int\:\sqrt[3]{x}-\frac{1}{x}dx
integral of sin(nwt)	\int\:\sin(nwt)dt
integral of \sqrt[3]{5^x}	\int\:\sqrt[3]{5^{x}}dx
integral of sin(23x)	\int\:\sin(23x)dx
integral of x/(1+sqrt(x-1))	\int\:\frac{x}{1+\sqrt{x-1}}dx
integral of f(x)=arctan(x)	integral\:f(x)=\arctan(x)

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