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Popular Calculus Problems

integral of 1/2 x3^x	\int\:\frac{1}{2}x3^{x}dx
integral of 1/(4x^2-16x+17)	\int\:\frac{1}{4x^{2}-16x+17}dx
integral of (x+3)/(4x^4+4x^3+x^2)	\int\:\frac{x+3}{4x^{4}+4x^{3}+x^{2}}dx
integral of (2x+16)/(x(x^2-25))	\int\:\frac{2x+16}{x(x^{2}-25)}dx
integral of 1/(x^{1/2)+x^{2/3}}	\int\:\frac{1}{x^{\frac{1}{2}}+x^{\frac{2}{3}}}dx
integral of (x^2+1)/(x^3-1)	\int\:\frac{x^{2}+1}{x^{3}-1}dx
integral of ((y-3))/(sqrt(-24+14y-y^2))	\int\:\frac{(y-3)}{\sqrt{-24+14y-y^{2}}}dy
integral of (2+x)/(sqrt(4-x^2))	\int\:\frac{2+x}{\sqrt{4-x^{2}}}dx
integral of (x^2)/(sqrt(x^2-7))	\int\:\frac{x^{2}}{\sqrt{x^{2}-7}}dx
integral of 1/2 cos^3(x)sqrt(sin(x))	\int\:\frac{1}{2}\cos^{3}(x)\sqrt{\sin(x)}dx
integral of 4/(sqrt(1-16x^2))	\int\:\frac{4}{\sqrt{1-16x^{2}}}dx
integral of (x^2)/(\sqrt[3]{x^3-1)}	\int\:\frac{x^{2}}{\sqrt[3]{x^{3}-1}}dx
integral of 5/(x(x^2+5)^2)	\int\:\frac{5}{x(x^{2}+5)^{2}}dx
integral of 1sqrt(1^2-1)	\int\:1\sqrt{1^{2}-1}dx
integral of 1/(x(x^2+3)^2)	\int\:\frac{1}{x(x^{2}+3)^{2}}dx
integral of 2x^3sin(x^2)	\int\:2x^{3}\sin(x^{2})dx
integral of (3-2sin(x))^2	\int\:(3-2\sin(x))^{2}dx
integral of (6x^4+2x^2+4x+15)/(x^2+3)	\int\:\frac{6x^{4}+2x^{2}+4x+15}{x^{2}+3}dx
integral of (2t^2-t+4)/(t^3+4t)	\int\:\frac{2t^{2}-t+4}{t^{3}+4t}dt
integral of 6tan^2(x)sec^4(x)	\int\:6\tan^{2}(x)\sec^{4}(x)dx
integral of 1/((x^2+xsqrt(x)))	integral\:\frac{1}{(x^{2}+x\sqrt{x})}
integral of (2x^2+3x+2)	\int\:(2x^{2}+3x+2)dx
integral of (2x-1)^{-1}	\int\:(2x-1)^{-1}dx
integral of (5+x)/(cos^2(x))	\int\:\frac{5+x}{\cos^{2}(x)}dx
integral of sqrt(x^4+3x^7)	\int\:\sqrt{x^{4}+3x^{7}}dx
integral of ln(sqrt(y)+3)	\int\:\ln(\sqrt{y}+3)dy
integral of sqrt(1+x^{2/3)}	\int\:\sqrt{1+x^{\frac{2}{3}}}dx
integral of 1/(x^{2/3)-x^{1/2}}	\int\:\frac{1}{x^{\frac{2}{3}}-x^{\frac{1}{2}}}dx
integral of 1/(x^3(1+x^3)^{1/3)}	\int\:\frac{1}{x^{3}(1+x^{3})^{\frac{1}{3}}}dx
integral of cot^7(8y)	\int\:\cot^{7}(8y)dy
integral of 1/(4e^t+e^{-t)}	\int\:\frac{1}{4e^{t}+e^{-t}}dt
integral of 9sec^5(x)	\int\:9\sec^{5}(x)dx
integral of (6x^2+2x+3)	\int\:(6x^{2}+2x+3)dx
integral of x^6cos(x^7)	\int\:x^{6}\cos(x^{7})dx
integral of+sin^5(x/3)cos(x/3)	\int\:+\sin^{5}(\frac{x}{3})\cos(\frac{x}{3})dx
integral of ((4-sqrt(2x+1)))/(1-2x)	\int\:\frac{(4-\sqrt{2x+1})}{1-2x}dx
integral of (4x^5-3x^4-25)	\int\:(4x^{5}-3x^{4}-25)dx
integral of (sin(x)-cos(y)+y/x)	\int\:(\sin(x)-\cos(y)+\frac{y}{x})dy
integral of ((a^x+b^x)/(c^x))	\int\:(\frac{a^{x}+b^{x}}{c^{x}})dx
integral of x^3sqrt(x^2-100)	\int\:x^{3}\sqrt{x^{2}-100}dx
integral of x^3sqrt(1+81x^2)	\int\:x^{3}\sqrt{1+81x^{2}}dx
integral of ((x-1)/x)^3	\int\:(\frac{x-1}{x})^{3}dx
integral of xtan(1-x^2)	\int\:x\tan(1-x^{2})dx
integral of sin(7x)sin(6x)	\int\:\sin(7x)\sin(6x)dx
integral of (cot(3x))/(sin(3x))	\int\:\frac{\cot(3x)}{\sin(3x)}dx
integral of 1/(sqrt(x)(4x+1))	\int\:\frac{1}{\sqrt{x}(4x+1)}dx
integral of 14coth(x)	\int\:14\coth(x)dx
integral of (sec(θ)tan(θ))/(2sec(θ)+3)	\int\:\frac{\sec(θ)\tan(θ)}{2\sec(θ)+3}dθ
integral of (6x^2)/(x^4-1)	\int\:\frac{6x^{2}}{x^{4}-1}dx
integral of (5^{ln(x^3)})/(4x)	\int\:\frac{5^{\ln(x^{3})}}{4x}dx
integral of 2x(x^2-9)^4	\int\:2x(x^{2}-9)^{4}dx
integral of (6x-1)/((2x-1)x^3)	\int\:\frac{6x-1}{(2x-1)x^{3}}dx
integral of (x^2+2x+4)/(x^3+3x^2+3x+1)	\int\:\frac{x^{2}+2x+4}{x^{3}+3x^{2}+3x+1}dx
integral of (t^2+2t-1)/(2t^3+3t^2-2t)	\int\:\frac{t^{2}+2t-1}{2t^{3}+3t^{2}-2t}dt
integral of 1/(8-4x)	\int\:\frac{1}{8-4x}dx
integral of (x^3)/((x^4-8)^4)	\int\:\frac{x^{3}}{(x^{4}-8)^{4}}dx
integral of 3/(7-2x)	\int\:\frac{3}{7-2x}dx
integral of (5x-y^2)^{15}	\int\:(5x-y^{2})^{15}dx
integral of 1/(v(100-v))	\int\:\frac{1}{v(100-v)}dv
integral of (2x^3-2x+3)^{(-1)/2}(3x^2-1)	\int\:(2x^{3}-2x+3)^{\frac{-1}{2}}(3x^{2}-1)dx
integral of (3x-2)/(x^2+8x+25)	\int\:\frac{3x-2}{x^{2}+8x+25}dx
integral of x/(x+x^3)	\int\:\frac{x}{x+x^{3}}dx
integral of 1/(2+cos(u))	\int\:\frac{1}{2+\cos(u)}du
integral of (e^{2x})/(\sqrt[3]{1+e^x)}	\int\:\frac{e^{2x}}{\sqrt[3]{1+e^{x}}}dx
integral of (cos^3(x))/(sin^3(x)+8)	\int\:\frac{\cos^{3}(x)}{\sin^{3}(x)+8}dx
integral of (x^{2/3})/((x^{1/3)+1)^2}	\int\:\frac{x^{\frac{2}{3}}}{(x^{\frac{1}{3}}+1)^{2}}dx
integral of (3x-6)^2	\int\:(3x-6)^{2}dx
integral of (x-2)/(x^2-2x+2)	\int\:\frac{x-2}{x^{2}-2x+2}dx
integral of 1/(sqrt(x)(\sqrt{x)-2)^2}	\int\:\frac{1}{\sqrt{x}(\sqrt{x}-2)^{2}}dx
integral of ((z+1))/(zsqrt(z-1))	\int\:\frac{(z+1)}{z\sqrt{z-1}}dz
integral of 1/(5sin^2(x)-3cos^2(x)-2)	\int\:\frac{1}{5\sin^{2}(x)-3\cos^{2}(x)-2}dx
integral of (2cos(x)+3sin(x))/(sin^3(x))	\int\:\frac{2\cos(x)+3\sin(x)}{\sin^{3}(x)}dx
integral of 2sqrt(x)(x+2x^{1/3})	\int\:2\sqrt{x}(x+2x^{\frac{1}{3}})dx
integral of sqrt(9/((2+x)(3-x)))	\int\:\sqrt{\frac{9}{(2+x)(3-x)}}dx
integral of 3xsqrt(4x-x^2)	\int\:3x\sqrt{4x-x^{2}}dx
integral of sin^3(z)cos^2(z)	\int\:\sin^{3}(z)\cos^{2}(z)dz
integral of 3e^{2sin(x)}cos(x)	\int\:3e^{2\sin(x)}\cos(x)dx
integral of ln(1+3x)	\int\:\ln(1+3x)dx
integral of (\sqrt[3]{x-2})/(x-3)	\int\:\frac{\sqrt[3]{x-2}}{x-3}dx
integral of 5/(3xsqrt(4x^4-1))	\int\:\frac{5}{3x\sqrt{4x^{4}-1}}dx
integral of 2x3^x	\int\:2x3^{x}dx
integral of (2x^3+4)	\int\:(2x^{3}+4)dx
integral of (x^m-x^n)/(sqrt(x))	\int\:\frac{x^{m}-x^{n}}{\sqrt{x}}dx
integral of xln(8)	integral\:x\ln(8)
integral of (4x^2+x+5)/((x+1)(x^2+1))	\int\:\frac{4x^{2}+x+5}{(x+1)(x^{2}+1)}dx
integral of (8x^5-3x^2-2x+5)	\int\:(8x^{5}-3x^{2}-2x+5)dx
integral of 2/(x^3-x^2)	\int\:\frac{2}{x^{3}-x^{2}}dx
integral of 1/((2x+3)(x-1))	\int\:\frac{1}{(2x+3)(x-1)}dx
integral of (x+4)/(x^2+4x-12)	\int\:\frac{x+4}{x^{2}+4x-12}dx
integral of cot^{1/2}(3x)csc^4(3x)	\int\:\cot^{\frac{1}{2}}(3x)\csc^{4}(3x)dx
integral of \sqrt[3]{x^2-2x+1}	\int\:\sqrt[3]{x^{2}-2x+1}dx
integral of (1-t+2t^2-t^3)/(t^3+2t^2+t)	\int\:\frac{1-t+2t^{2}-t^{3}}{t^{3}+2t^{2}+t}dt
integral of (3x-2)/(x^2-5x+6)	\int\:\frac{3x-2}{x^{2}-5x+6}dx
integral of 1/(sqrt(225-x^2))	\int\:\frac{1}{\sqrt{225-x^{2}}}dx
integral of (4t+6)/(2t+1)	\int\:\frac{4t+6}{2t+1}dt
integral of 3X^2-6X+8	\int\:3X^{2}-6X+8dX
integral of (ln(x))/(x-xln(x))	\int\:\frac{\ln(x)}{x-x\ln(x)}dx
integral of 12x^2+2x+1	\int\:12x^{2}+2x+1dx
integral of sin((pix)/(2y))	\int\:\sin(\frac{πx}{2y})dx
integral of ((2x-3))/((x^2-2x+5))	\int\:\frac{(2x-3)}{(x^{2}-2x+5)}dx

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