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Popular Calculus Problems

integral of 2/((x+1))	\int\:\frac{2}{(x+1)}dx
integral of-x/(1-x^2)	\int\:-\frac{x}{1-x^{2}}dx
integral of x(ln(x))^4	\int\:x(\ln(x))^{4}dx
integral of 2/((x+1)(x+2)(x+3))	\int\:\frac{2}{(x+1)(x+2)(x+3)}dx
integral of x(3x^2+5)^9	\int\:x(3x^{2}+5)^{9}dx
integral of 2/(vsqrt(v^2-16))	\int\:\frac{2}{v\sqrt{v^{2}-16}}dv
integral of (2x)/(sqrt(3x^2+1))	\int\:\frac{2x}{\sqrt{3x^{2}+1}}dx
integral of 1/(u^2)	integral\:\frac{1}{u^{2}}
integral of (cos(sqrt(5t)))/(sqrt(5t))	\int\:\frac{\cos(\sqrt{5t})}{\sqrt{5t}}dt
integral of e^{-x}(x^2+1)	\int\:e^{-x}(x^{2}+1)dx
integral of 1/(sin^5(x)cos^5(x))	\int\:\frac{1}{\sin^{5}(x)\cos^{5}(x)}dx
integral of 1/((4x+1)^2)	\int\:\frac{1}{(4x+1)^{2}}dx
integral of (5x^2)/((x^3-7)^4)	\int\:\frac{5x^{2}}{(x^{3}-7)^{4}}dx
integral of (e^{3x})/(e^{3x)+5}	\int\:\frac{e^{3x}}{e^{3x}+5}dx
integral of (5x+3)/(x^4+2x^3+3x^2)	\int\:\frac{5x+3}{x^{4}+2x^{3}+3x^{2}}dx
integral of (x^5+x^{1/2})	\int\:(x^{5}+x^{\frac{1}{2}})dx
integral of (e^{2x}-1/2 e^{x/2})	\int\:(e^{2x}-\frac{1}{2}e^{\frac{x}{2}})dx
integral of sqrt(x^2+y^2+z^2)	\int\:\sqrt{x^{2}+y^{2}+z^{2}}dz
integral of 4/((3-x)^2)+C	\int\:\frac{4}{(3-x)^{2}}+Cdx
integral of (2T)/1 ^2	\int\:\frac{d^{2}T}{1}dx^{2}
integral of 1/(sqrt(2+x))	\int\:\frac{1}{\sqrt{2+x}}dx
integral of sin(2x-6)	\int\:\sin(2x-6)dx
integral of (x^2)/(sqrt(9x^2+16))	\int\:\frac{x^{2}}{\sqrt{9x^{2}+16}}dx
integral of ln(x+sqrt(x))	\int\:\ln(x+\sqrt{x})dx
integral of 2xsec(3x^2)tan(3x^2)	\int\:2x\sec(3x^{2})\tan(3x^{2})dx
integral of (9x^5-3x+1)/(x^3-x^2)	\int\:\frac{9x^{5}-3x+1}{x^{3}-x^{2}}dx
integral of 6x-18	\int\:6x-18dx
integral of (x^3-1)/(x+1)	\int\:\frac{x^{3}-1}{x+1}dx
integral of (sqrt(x^2+4))/(x^4)	\int\:\frac{\sqrt{x^{2}+4}}{x^{4}}dx
integral of 1/(a^2x^2-c^2)	\int\:\frac{1}{a^{2}x^{2}-c^{2}}dx
integral of sqrt(x)-x/2	\int\:\sqrt{x}-\frac{x}{2}dx
integral of (x-2)^{1/2}	\int\:(x-2)^{\frac{1}{2}}dx
integral of ln(x+10)	\int\:\ln(x+10)dx
integral of 1/(x(5+2ln(x)))	\int\:\frac{1}{x(5+2\ln(x))}dx
integral of (x+1)(sqrt(2x+x^2))	\int\:(x+1)(\sqrt{2x+x^{2}})dx
integral of 7x^9	\int\:7x^{9}dx
integral of (cos(x))/(sqrt(4+3sin(x)))	\int\:\frac{\cos(x)}{\sqrt{4+3\sin(x)}}dx
integral of 3e^{-2t}	\int\:3e^{-2t}dt
integral of ((1-x^2)^{5/2})/(x^8)	\int\:\frac{(1-x^{2})^{\frac{5}{2}}}{x^{8}}dx
integral of (3x^2)/(1-2x^3)	\int\:\frac{3x^{2}}{1-2x^{3}}dx
integral of 1/(sqrt(1-r^2))	\int\:\frac{1}{\sqrt{1-r^{2}}}dr
integral of \|t\|	\int\:\left\|t\right\|dt
integral of cos(θ)sqrt(sin(θ)+1)	\int\:\cos(θ)\sqrt{\sin(θ)+1}dθ
integral of (x^2+44)/(x^2+49)	\int\:\frac{x^{2}+44}{x^{2}+49}dx
integral of e^{ay}cos(by)	\int\:e^{ay}\cos(by)dy
integral of sin(x)(2x)	\int\:\sin(x)(2x)dx
integral of 6x^2-6x-36	\int\:6x^{2}-6x-36dx
integral of (3x-1)/(x^2+4x+13)	\int\:\frac{3x-1}{x^{2}+4x+13}dx
integral of (sin(x)+e^x)^2	\int\:(\sin(x)+e^{x})^{2}dx
integral of-(2x^2)/((4-5x^3)^7)	\int\:-\frac{2x^{2}}{(4-5x^{3})^{7}}dx
integral of 11xe^{-6x^2}	\int\:11xe^{-6x^{2}}dx
integral of t/(sqrt(16-4t^2))	\int\:\frac{t}{\sqrt{16-4t^{2}}}dt
integral of 1/((2x-3)^5)	\int\:\frac{1}{(2x-3)^{5}}dx
integral of 1/(tan^2(t))	\int\:\frac{1}{\tan^{2}(t)}dt
integral of (6+x)/x	\int\:\frac{6+x}{x}dx
integral of sin(4x)(1-cos(4x))^3	\int\:\sin(4x)(1-\cos(4x))^{3}dx
integral of-3t^{-1/2}	\int\:-3t^{-\frac{1}{2}}dt
integral of ((2x^2+4x-3))/(x^2)	\int\:\frac{(2x^{2}+4x-3)}{x^{2}}dx
integral of 1/(sqrt(x)+x^2)	\int\:\frac{1}{\sqrt{x}+x^{2}}dx
integral of (x^2-5x+1)e^{-x}	\int\:(x^{2}-5x+1)e^{-x}dx
integral of xsin(x)+cos(x)	\int\:x\sin(x)+\cos(x)dx
integral of (3^{1/x})/(x^2)	\int\:\frac{3^{\frac{1}{x}}}{x^{2}}dx
integral of (16^x)/(sqrt(4^x+2))	\int\:\frac{16^{x}}{\sqrt{4^{x}+2}}dx
integral of (2x+1)e^{2x}	\int\:(2x+1)e^{2x}dx
integral of (e^x-1)/(e^x)	\int\:\frac{e^{x}-1}{e^{x}}dx
integral of e^{x^9}x^8	\int\:e^{x^{9}}x^{8}dx
integral of (x^{3/2}+2)^6sqrt(x)	\int\:(x^{\frac{3}{2}}+2)^{6}\sqrt{x}dx
integral of 32x(3-2x^2)^{-3}	\int\:32x(3-2x^{2})^{-3}dx
integral of-x^2+5	\int\:-x^{2}+5dx
integral of (2x^2+3x+1)/(x^3+x)	\int\:\frac{2x^{2}+3x+1}{x^{3}+x}dx
integral of (sinh(x)+x^3)	\int\:(\sinh(x)+x^{3})dx
integral of (4-2x)/(4x-x^2)	\int\:\frac{4-2x}{4x-x^{2}}dx
integral of (4t)/(1+t^2)	\int\:\frac{4t}{1+t^{2}}dt
integral of usqrt(1+u^2)	\int\:u\sqrt{1+u^{2}}du
integral of pisin((pit)/7)+1	\int\:π\sin(\frac{πt}{7})+1dt
integral of p(p+9)^5	\int\:p(p+9)^{5}dp
integral of 1/(3x^2-2x+2)	\int\:\frac{1}{3x^{2}-2x+2}dx
integral of x^3 1/(sqrt(1-x^2))	\int\:x^{3}\frac{1}{\sqrt{1-x^{2}}}dx
integral of (sin(x)-cos(x))/(1+sin(2x))	\int\:\frac{\sin(x)-\cos(x)}{1+\sin(2x)}dx
integral of sin^{-4}(x/2)cos^3(x/2)	\int\:\sin^{-4}(\frac{x}{2})\cos^{3}(\frac{x}{2})dx
integral of 2-cos(x)	\int\:2-\cos(x)dx
integral of 12te^{2t}	\int\:12te^{2t}dt
integral of 3(1+6x)^4	\int\:3(1+6x)^{4}dx
integral of (\sqrt[3]{x+1})/x	\int\:\frac{\sqrt[3]{x+1}}{x}dx
integral of 7e^t	\int\:7e^{t}dt
integral of cos^2(5x)sin(5x)	\int\:\cos^{2}(5x)\sin(5x)dx
integral of (y^4-8)/(y^3+2y^2)	\int\:\frac{y^{4}-8}{y^{3}+2y^{2}}dy
integral of (x-2)/(x^2-5x+4)	\int\:\frac{x-2}{x^{2}-5x+4}dx
integral of (xarcsin(x^2))/(sqrt(1-x^4))	\int\:\frac{x\arcsin(x^{2})}{\sqrt{1-x^{4}}}dx
integral of cos(5x)e^{sin(5x)}	\int\:\cos(5x)e^{\sin(5x)}dx
integral of-5x+15	\int\:-5x+15dx
integral of 1/((a^2-x^2))	\int\:\frac{1}{(a^{2}-x^{2})}dx
integral of sqrt(1-x^2)	integral\:\sqrt{1-x^{2}}
integral of 1/((u-2)sqrt(u+2))	\int\:\frac{1}{(u-2)\sqrt{u+2}}du
integral of (4-5x)^9	\int\:(4-5x)^{9}dx
integral of (6x)/(1+\sqrt[3]{1+x^2)}	\int\:\frac{6x}{1+\sqrt[3]{1+x^{2}}}dx
integral of (2x^4+9x^2+8)/(x(x^2+2)^2)	\int\:\frac{2x^{4}+9x^{2}+8}{x(x^{2}+2)^{2}}dx
integral of (2sqrt(x^3)+7\sqrt[3]{x^2})	\int\:(2\sqrt{x^{3}}+7\sqrt[3]{x^{2}})dx
integral of x^{1/2}+1/(x+7)	\int\:x^{\frac{1}{2}}+\frac{1}{x+7}dx
integral of 3+2x-x^2	\int\:3+2x-x^{2}dx

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