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Popular Calculus Problems

integral of (30^0)/(0^0)sin(x)cos^3(x)	\int\:\frac{30^{0}}{0^{0}}\sin(x)\cos^{3}(x)dx
integral of 1/(x(x^2+1)^3)	\int\:\frac{1}{x(x^{2}+1)^{3}}dx
integral of 1/(x(50000-x))	\int\:\frac{1}{x(50000-x)}dx
integral of ((x^2+1)/(x^3+2x^2+x))	\int\:(\frac{x^{2}+1}{x^{3}+2x^{2}+x})dx
integral of ((2x-1)/((x+1)(x^2+4x+4)))	\int\:(\frac{2x-1}{(x+1)(x^{2}+4x+4)})dx
integral of (49)/(x^2sqrt(49-x^2))	\int\:\frac{49}{x^{2}\sqrt{49-x^{2}}}dx
integral of rsin(r)	\int\:r\sin(r)dr
integral of (x+8)/(x^3+13x^2+35x-49)	\int\:\frac{x+8}{x^{3}+13x^{2}+35x-49}dx
integral of 0.06e^{0.02x}	\int\:0.06e^{0.02x}dx
integral of 4x*[x^2+5]^3	\int\:4x\cdot\:[x^{2}+5]^{3}dx
integral of (2x)/(sqrt(9x^2-6x-8))	\int\:\frac{2x}{\sqrt{9x^{2}-6x-8}}dx
integral of csc(x)+cot(x)	\int\:\csc(x)+\cot(x)dx
integral of ([4-ln(x+3)]^3)/(x+3)	\int\:\frac{[4-\ln(x+3)]^{3}}{x+3}dx
integral of 5/(3y^{-2)}	\int\:\frac{5}{3y^{-2}}dy
integral of 5pit^3	\int\:5πt^{3}dt
integral of 16x^7	\int\:16x^{7}dx
integral of (x+1)/((x^2-1)^2)	\int\:\frac{x+1}{(x^{2}-1)^{2}}dx
integral of x^6ln(x)+4xsin(3x)	\int\:x^{6}\ln(x)+4x\sin(3x)dx
integral of (sin^2(x)-4)/(sin(x)+2)	\int\:\frac{\sin^{2}(x)-4}{\sin(x)+2}dx
integral of 1/(x^3-7x+6)	\int\:\frac{1}{x^{3}-7x+6}dx
integral of (4x^2-4x+24)/(x^3+3x)	\int\:\frac{4x^{2}-4x+24}{x^{3}+3x}dx
integral of (xe^x)/(sqrt(9+e^x))	\int\:\frac{xe^{x}}{\sqrt{9+e^{x}}}dx
integral of+(4y^2-7y-12)/(y(y+2)(y-3))	\int\:+\frac{4y^{2}-7y-12}{y(y+2)(y-3)}dy
integral of 4x^2e^{3x^2}	\int\:4x^{2}e^{3x^{2}}dx
integral of (3/(x^4)-2/x)	\int\:(\frac{3}{x^{4}}-\frac{2}{x})dx
integral of sin^2(y)cos^4(y)	\int\:\sin^{2}(y)\cos^{4}(y)dy
integral of 1/2*e^{-x/2}	\int\:\frac{1}{2}\cdot\:e^{-\frac{x}{2}}dx
integral of (2(1-ln(x))^3)/x	\int\:\frac{2(1-\ln(x))^{3}}{x}dx
integral of (10ln(x))/(x^3)	\int\:\frac{10\ln(x)}{x^{3}}dx
integral of 2-xcos(x)	\int\:2-x\cos(x)dx
integral of 1/(v^2+4)	\int\:\frac{1}{v^{2}+4}dv
integral of (3x^2+2ln(x))/(x^3)	\int\:\frac{3x^{2}+2\ln(x)}{x^{3}}dx
integral of (-csc(θ))/(csc(θ)-cot(θ))	\int\:\frac{-\csc(θ)}{\csc(θ)-\cot(θ)}dθ
integral of sin(9x)cos(8x)	\int\:\sin(9x)\cos(8x)dx
integral of x*sinh(x)	\int\:x\cdot\:\sinh(x)dx
integral of 9/(sqrt(9-x^2))	\int\:\frac{9}{\sqrt{9-x^{2}}}dx
integral of 1/(cos^2(x)-1)	\int\:\frac{1}{\cos^{2}(x)-1}dx
integral of (28)/(x^2-4x-45)	\int\:\frac{28}{x^{2}-4x-45}dx
integral of (5x^{1/4}-5x^{-6}+1)	\int\:(5x^{\frac{1}{4}}-5x^{-6}+1)dx
integral of (x^3+2x^2+5x+12)/(x+2)	\int\:\frac{x^{3}+2x^{2}+5x+12}{x+2}dx
integral of 5tan(t)	\int\:5\tan(t)dt
integral of (7^{cot(2x)})/(sin^2(2x))	\int\:\frac{7^{\cot(2x)}}{\sin^{2}(2x)}dx
integral of+(2x^2-9x-9)/(x^3-9x)	\int\:+\frac{2x^{2}-9x-9}{x^{3}-9x}dx
integral of e^{3x}(x^2+y^2)	\int\:e^{3x}(x^{2}+y^{2})dy
integral of 6y^2-x^2+3	\int\:6y^{2}-x^{2}+3dy
integral of 1/(sqrt(x))-2/(sqrt(x^3))	\int\:\frac{1}{\sqrt{x}}-\frac{2}{\sqrt{x^{3}}}dx
integral of (2x)/(sqrt(x^2+4x+3))	\int\:\frac{2x}{\sqrt{x^{2}+4x+3}}dx
integral of 1/(\sqrt[5]{x+2)}	\int\:\frac{1}{\sqrt[5]{x+2}}dx
integral of 7(3x+4)^6	\int\:7(3x+4)^{6}dx
integral of (x^2)/3-3/(2x-3)-e^{3x}	\int\:\frac{x^{2}}{3}-\frac{3}{2x-3}-e^{3x}dx
integral of sec^5(2/3)θtan(2/3)θ	\int\:\sec^{5}(\frac{2}{3})θ\tan(\frac{2}{3})θdθ
integral of cos(x)sec(s-pi)	\int\:\cos(x)\sec(s-π)ds
integral of cos^2(2x)sin^4(2x)	\int\:\cos^{2}(2x)\sin^{4}(2x)dx
integral of sin(2sqrt(x))	\int\:\sin(2\sqrt{x})dx
integral of 1/(p(1-p))	\int\:\frac{1}{p(1-p)}dp
integral of (sqrt(x))/(sqrt(x)+4)	\int\:\frac{\sqrt{x}}{\sqrt{x}+4}dx
integral of xtan(8)x^2	\int\:x\tan(8)x^{2}dx
integral of (pi+3)/(e^{3x)}	\int\:\frac{π+3}{e^{3x}}dx
integral of 1/(sqrt(x-17))	\int\:\frac{1}{\sqrt{x-17}}dx
integral of (sqrt(x)+sqrt(a))^2x	\int\:(\sqrt{x}+\sqrt{a})^{2}xdx
integral of sqrt(x^2-4x-5)	\int\:\sqrt{x^{2}-4x-5}dx
integral of tln(sqrt(t+1))	\int\:t\ln(\sqrt{t+1})dt
integral of cos(2x-y)	\int\:\cos(2x-y)dx
integral of ((5x^2+3x+5))/((x^2+1)^2)	\int\:\frac{(5x^{2}+3x+5)}{(x^{2}+1)^{2}}dx
integral of ((x-1)^2)/(x+1)	\int\:\frac{(x-1)^{2}}{x+1}dx
integral of (xln(x))/(sqrt(x^2-4))	\int\:\frac{x\ln(x)}{\sqrt{x^{2}-4}}dx
integral of (12x^3)/((3x^4-4)ln(3x^4-4))	\int\:\frac{12x^{3}}{(3x^{4}-4)\ln(3x^{4}-4)}dx
integral of 1/(4x^2+5)	\int\:\frac{1}{4x^{2}+5}dx
integral of 1/(3+2cos(x)+2sin(x))	\int\:\frac{1}{3+2\cos(x)+2\sin(x)}dx
integral of xsqrt(x^2+8x+21)	\int\:x\sqrt{x^{2}+8x+21}dx
integral of sqrt(324-9x^2)	\int\:\sqrt{324-9x^{2}}dx
integral of cosh(4x-1)	\int\:\cosh(4x-1)dx
integral of 2y^{1/2}	\int\:2y^{\frac{1}{2}}dy
integral of (sec(2x)-csc(x/2))	\int\:(\sec(2x)-\csc(\frac{x}{2}))dx
integral of e^{(-x)/(50)}	\int\:e^{\frac{-x}{50}}dx
integral of (x^2-2)/(x^3sqrt(x^2-1))	\int\:\frac{x^{2}-2}{x^{3}\sqrt{x^{2}-1}}dx
integral of (x^3-4x+3)/(x+5)	\int\:\frac{x^{3}-4x+3}{x+5}dx
integral of c/(r^2)	\int\:\frac{c}{r^{2}}dr
integral of rsqrt(r+3)	\int\:r\sqrt{r+3}dr
integral of (x^2+2x+1)/(2x^3+3x^2-2x)	\int\:\frac{x^{2}+2x+1}{2x^{3}+3x^{2}-2x}dx
integral of (3sin(2x))/(cos(2x)+2)	\int\:\frac{3\sin(2x)}{\cos(2x)+2}dx
integral of (2x-3)/(sqrt(x))	\int\:\frac{2x-3}{\sqrt{x}}dx
integral of cos(ax)e^{-sx}	\int\:\cos(ax)e^{-sx}dx
integral of (4-x)/(x^3)	\int\:\frac{4-x}{x^{3}}dx
integral of (12x+20)/(x^2+2x+1)	\int\:\frac{12x+20}{x^{2}+2x+1}dx
integral of (x+y)^{1/2}	\int\:(x+y)^{\frac{1}{2}}dx
integral of ((x^3-x^2+1))/((x^2+2x+2)^2)	\int\:\frac{(x^{3}-x^{2}+1)}{(x^{2}+2x+2)^{2}}dx
integral of (sin^3(x))(cos(x))	\int\:(\sin^{3}(x))(\cos(x))dx
integral of 3x(x^2-2)^5	\int\:3x(x^{2}-2)^{5}dx
integral of x^2(e^{x^3}+3x+2)	\int\:x^{2}(e^{x^{3}}+3x+2)dx
integral of sqrt(1+(2x(x^2+1)^{1/2))^2}	\int\:\sqrt{1+(2x(x^{2}+1)^{\frac{1}{2}})^{2}}dx
integral of x^2e^{-12x}	\int\:x^{2}e^{-12x}dx
integral of 1/(sqrt(x^2+8x+3))	\int\:\frac{1}{\sqrt{x^{2}+8x+3}}dx
integral of (e^{3x-4})	\int\:(e^{3x-4})dx
integral of (4+x^2)^{3/2}	\int\:(4+x^{2})^{\frac{3}{2}}dx
integral of ((x^4-1))/(x^2(x+1)^2)	\int\:\frac{(x^{4}-1)}{x^{2}(x+1)^{2}}dx
integral of 1/((1+x+y+z)^3)	\int\:\frac{1}{(1+x+y+z)^{3}}dz
integral of θtan(6)θ^2	\int\:θ\tan(6)θ^{2}dθ
integral of e^{-st}tcos(t)	\int\:e^{-st}\cdot\:t\cdot\:\cos(t)dt
integral of (3x^2-8x)/(x^3-4x^2+1)	\int\:\frac{3x^{2}-8x}{x^{3}-4x^{2}+1}dx

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