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Popular Calculus Problems

integral of (x^4+x^2-x+1)/(x^4-1)	\int\:\frac{x^{4}+x^{2}-x+1}{x^{4}-1}dx
integral of-y^{-2}	\int\:-y^{-2}dy
integral of 3x(4-x)	\int\:3x(4-x)dx
integral of 1/(sqrt(\frac{1-x^2){121)}}	\int\:\frac{1}{\sqrt{\frac{1-x^{2}}{121}}}dx
integral of (x^2+2)/((x-1)^4)	\int\:\frac{x^{2}+2}{(x-1)^{4}}dx
integral of sqrt(4x+8)	\int\:\sqrt{4x+8}dx
integral of 10e^x-xe^x+1	\int\:10e^{x}-xe^{x}+1dx
integral of Ae^{-kx}	\int\:Ae^{-kx}dx
integral of ln(x+sqrt(a^2+x^2))	\int\:\ln(x+\sqrt{a^{2}+x^{2}})dx
integral of 3/(x^2+25)	\int\:\frac{3}{x^{2}+25}dx
integral of (7/3)^x	\int\:(\frac{7}{3})^{x}dx
integral of (3sin(2x))/(sin(x))	\int\:\frac{3\sin(2x)}{\sin(x)}dx
integral of sqrt(1+5^{2x)}	\int\:\sqrt{1+5^{2x}}dx
integral of x/(3x^2-2)	\int\:\frac{x}{3x^{2}-2}dx
integral of 3/(4x^2+1)	\int\:\frac{3}{4x^{2}+1}dx
integral of (x^2-1/(x^2))^3	\int\:(x^{2}-\frac{1}{x^{2}})^{3}dx
integral of (9x-8)/((x-3)(2x-5))	\int\:\frac{9x-8}{(x-3)(2x-5)}dx
integral of (2x+3)/((2x^2+6x-7)^3)	\int\:\frac{2x+3}{(2x^{2}+6x-7)^{3}}dx
integral of x/3+1	\int\:\frac{x}{3}+1dx
integral of cos(x)*cos(2x)	\int\:\cos(x)\cdot\:\cos(2x)dx
integral of e^{cos(9x)}sin(9x)	\int\:e^{\cos(9x)}\sin(9x)dx
integral of uv	\int\:uvdx
integral of (2-t)sqrt(t)	\int\:(2-t)\sqrt{t}dt
integral of (4/(1+x^2))	\int\:(\frac{4}{1+x^{2}})dx
integral of sin((npi)/L x)	\int\:\sin(\frac{nπ}{L}x)dx
integral of t^2-t-6	\int\:t^{2}-t-6dt
integral of (x^2+x+1)/((x+1)^{50)}	\int\:\frac{x^{2}+x+1}{(x+1)^{50}}dx
integral of (2x+5)/(x^2+3x-10)	\int\:\frac{2x+5}{x^{2}+3x-10}dx
integral of 1/(x^{1/2)-x^{1/3}}	\int\:\frac{1}{x^{\frac{1}{2}}-x^{\frac{1}{3}}}dx
integral of (2x-3)/(x^2+8x+7)	\int\:\frac{2x-3}{x^{2}+8x+7}dx
integral of (x+1)(x-3)	\int\:(x+1)(x-3)dx
integral of (2x+5)/(x^2-5x+6)	\int\:\frac{2x+5}{x^{2}-5x+6}dx
integral of (e^y)/2	\int\:\frac{e^{y}}{2}dy
integral of ((log_{10}(x)))/x	\int\:\frac{(\log_{10}(x))}{x}dx
integral of 2/(e^{x+50)-1}+150	\int\:\frac{2}{e^{x+50}-1}+150dx
integral of x^{1.8}+9x^{3.5}	\int\:x^{1.8}+9x^{3.5}dx
integral of (cos(3θ)-1)	\int\:(\cos(3θ)-1)dθ
integral of 8sin(2x)cos(2x)	\int\:8\sin(2x)\cos(2x)dx
integral of (8+8x)/(1+x^2)	\int\:\frac{8+8x}{1+x^{2}}dx
integral of (2x^3+5)^2(9x^2)	\int\:(2x^{3}+5)^{2}(9x^{2})dx
integral of ln^2(4x)	\int\:\ln^{2}(4x)dx
integral of 4te^{t^2}	\int\:4te^{t^{2}}dt
integral of cos(θ)sin^4(θ)	\int\:\cos(θ)\sin^{4}(θ)dθ
integral of (\sqrt[4]{x}+1)^2	\int\:(\sqrt[4]{x}+1)^{2}dx
integral of e^xarcsin(e^x)	\int\:e^{x}\arcsin(e^{x})dx
integral of 4/(5x^3)	\int\:\frac{4}{5x^{3}}dx
integral of x^4+x^3	\int\:x^{4}+x^{3}dx
integral of e^{tan(15x)}sec^2(15x)	\int\:e^{\tan(15x)}\sec^{2}(15x)dx
integral of (36)/(1+16x^2)	\int\:\frac{36}{1+16x^{2}}dx
integral of (3x^2)/(b^{5x^3)}	\int\:\frac{3x^{2}}{b^{5x^{3}}}dx
integral of (2x+3)/(sqrt(x^2+3x))	\int\:\frac{2x+3}{\sqrt{x^{2}+3x}}dx
integral of (1-3x)^5	\int\:(1-3x)^{5}dx
integral of sin(x)cos^8(x)	\int\:\sin(x)\cos^{8}(x)dx
integral of 3x^2sqrt(x)	\int\:3x^{2}\sqrt{x}dx
integral of (x-7)	\int\:(x-7)dx
integral of sin(pi/x)	\int\:\sin(\frac{π}{x})dx
integral of (x^2-3sqrt(x))/(\sqrt[3]{x)}	\int\:\frac{x^{2}-3\sqrt{x}}{\sqrt[3]{x}}dx
integral of (2x^4+3x^2+4)/(x^2+1)	\int\:\frac{2x^{4}+3x^{2}+4}{x^{2}+1}dx
integral of (10sec^2(3x))/(tan(3x)-3)	\int\:\frac{10\sec^{2}(3x)}{\tan(3x)-3}dx
integral of (9x^2-3x+1)/(x^3-x^2)	\int\:\frac{9x^{2}-3x+1}{x^{3}-x^{2}}dx
integral of 3^{cos(x)}sin(x)	\int\:3^{\cos(x)}\sin(x)dx
integral of sqrt(x^2+1x)	\int\:\sqrt{x^{2}+1x}dx
integral of (3x^2+1)/((x+1)(x^2+1))	\int\:\frac{3x^{2}+1}{(x+1)(x^{2}+1)}dx
integral of xln(x^2+2)	\int\:x\ln(x^{2}+2)dx
integral of ((sqrt(x)+2)^6)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+2)^{6}}{2\sqrt{x}}dx
integral of 1/(e^t+e^{-t)}	\int\:\frac{1}{e^{t}+e^{-t}}dt
integral of 1/((sin(3x))^2)	\int\:\frac{1}{(\sin(3x))^{2}}dx
integral of sqrt(x+49)	\int\:\sqrt{x+49}dx
integral of (x+2)/(x^2-4x+8)	\int\:\frac{x+2}{x^{2}-4x+8}dx
integral of sin(7pix)	\int\:\sin(7πx)dx
integral of ((a^2-x^2)^{1/2})/(x^2)	\int\:\frac{(a^{2}-x^{2})^{\frac{1}{2}}}{x^{2}}dx
integral of (t^2)/((t^3-5)^3)	\int\:\frac{t^{2}}{(t^{3}-5)^{3}}dt
integral of cos^5(4x)	\int\:\cos^{5}(4x)dx
integral of e^{2x}sqrt(e^x+1)	\int\:e^{2x}\sqrt{e^{x}+1}dx
integral of 4+tan^2(x)	\int\:4+\tan^{2}(x)dx
integral of (-9ln(x))/x	\int\:\frac{-9\ln(x)}{x}dx
integral of 3e^{6x}	\int\:3e^{6x}dx
integral of sin(x^2)*x	\int\:\sin(x^{2})\cdot\:xdx
integral of (x^5+1)/(x^4-8x^2+16)	\int\:\frac{x^{5}+1}{x^{4}-8x^{2}+16}dx
integral of (e^x)/(e^{2x)+5}	\int\:\frac{e^{x}}{e^{2x}+5}dx
integral of (2x^3+3x)/(x^4+3x^2)	\int\:\frac{2x^{3}+3x}{x^{4}+3x^{2}}dx
integral of (\sqrt[3]{x+8})/x	\int\:\frac{\sqrt[3]{x+8}}{x}dx
integral of (2x)/(sqrt(3x^2+2))	\int\:\frac{2x}{\sqrt{3x^{2}+2}}dx
integral of (9x^3-7x+5)/(x^3-x^2)	\int\:\frac{9x^{3}-7x+5}{x^{3}-x^{2}}dx
integral of 10^x)	\int\:d(10^{x})dx
integral of x/(sqrt(2-x^4))	\int\:\frac{x}{\sqrt{2-x^{4}}}dx
integral of 6xsqrt(5x-3)	\int\:6x\sqrt{5x-3}dx
integral of x^3-pix^2	\int\:x^{3}-πx^{2}dx
integral of (e^{2x})/(e^{4x)+3}	\int\:\frac{e^{2x}}{e^{4x}+3}dx
integral of (sqrt(x^3))/3	\int\:\frac{\sqrt{x^{3}}}{3}dx
integral of (e^{2ln(x)})/x	\int\:\frac{e^{2\ln(x)}}{x}dx
integral of 14sin((pit)/(12))	\int\:14\sin(\frac{πt}{12})dt
integral of (sin((-5)/x))/(11x^2)	\int\:\frac{\sin(\frac{-5}{x})}{11x^{2}}dx
integral of sec(x)(2sec(x)+7tan(x))	\int\:\sec(x)(2\sec(x)+7\tan(x))dx
integral of (xln(x))/(sqrt(1-x^2))	\int\:\frac{x\ln(x)}{\sqrt{1-x^{2}}}dx
integral of ((x^2)/(x^3+1))	\int\:(\frac{x^{2}}{x^{3}+1})dx
integral of sec^2(x)(e^{tan(x)})	\int\:\sec^{2}(x)(e^{\tan(x)})dx
integral of (x+3)/(x^2-2x-5)	\int\:\frac{x+3}{x^{2}-2x-5}dx
integral of sqrt(1-e^{-2x)}	\int\:\sqrt{1-e^{-2x}}dx
integral of sqrt(x)(ln(x))	\int\:\sqrt{x}(\ln(x))dx

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