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Popular Calculus Problems

integral of 1/(15-3x)	\int\:\frac{1}{15-3x}dx
integral of 4/(x^2+6x+18)	\int\:\frac{4}{x^{2}+6x+18}dx
integral of 9x^2+1/(sqrt(x^3))	\int\:9x^{2}+\frac{1}{\sqrt{x^{3}}}dx
integral of (2+sqrt(x))	\int\:(2+\sqrt{x})dx
integral of (RAyx-3/2 x^2+5)	\int\:(RAyx-\frac{3}{2}x^{2}+5)dx
integral of (3x+2)/(x^2-2x+10)	\int\:\frac{3x+2}{x^{2}-2x+10}dx
integral of e^{18x}	\int\:e^{18x}dx
integral of 1/(sqrt(h-18))	\int\:\frac{1}{\sqrt{h-18}}dh
integral of 1/((x-1)(x^2+2x+1))	\int\:\frac{1}{(x-1)(x^{2}+2x+1)}dx
integral of ((cos(x))^5)/(sqrt(sin(x)))	\int\:\frac{(\cos(x))^{5}}{\sqrt{\sin(x)}}dx
integral of ksin(kx)cos(kx)	\int\:k\sin(kx)\cos(kx)dx
integral of 3/(x(x^2+6)^2)	\int\:\frac{3}{x(x^{2}+6)^{2}}dx
integral of (3x^4+2x)/(x^3)	\int\:\frac{3x^{4}+2x}{x^{3}}dx
integral of (sin^2(θ))/(cos^2(θ))	\int\:\frac{\sin^{2}(θ)}{\cos^{2}(θ)}dθ
integral of 2x(cos(x^2-5))/(cot(x^2-5))	\int\:2x\frac{\cos(x^{2}-5)}{\cot(x^{2}-5)}dx
integral of e^{2x}*4x	\int\:e^{2x}\cdot\:4xdx
integral of (x-2)/(x^2+6x+13)	\int\:\frac{x-2}{x^{2}+6x+13}dx
integral of (2x^2-1)/(1+x^2)	\int\:\frac{2x^{2}-1}{1+x^{2}}dx
integral of (2x^2+1/3)	\int\:(2x^{2}+\frac{1}{3})dx
integral of (sqrt(x^2-5))/(x^2)	\int\:\frac{\sqrt{x^{2}-5}}{x^{2}}dx
integral of (sec(2θ)-csc(θ/2))	\int\:(\sec(2θ)-\csc(\frac{θ}{2}))dθ
integral of (2x^3-x)/(x^2+2)	\int\:\frac{2x^{3}-x}{x^{2}+2}dx
integral of 2sin(2θ)sin(4θ)	\int\:2\sin(2θ)\sin(4θ)dθ
integral of 6e^{3x+7}	\int\:6e^{3x+7}dx
integral of (x^2)/((x-5)(x-6)^2)	\int\:\frac{x^{2}}{(x-5)(x-6)^{2}}dx
integral of 1+4x^2	\int\:1+4x^{2}dx
integral of (-cos(3x))/3	\int\:\frac{-\cos(3x)}{3}dx
integral of (tan(e^{-3x}))/(e^{3x)}	\int\:\frac{\tan(e^{-3x})}{e^{3x}}dx
integral of (t^2)/(sqrt(-7+6t-t^2))	\int\:\frac{t^{2}}{\sqrt{-7+6t-t^{2}}}dt
integral of (cos(x))/(7sin^2(x)+8sin(x))	\int\:\frac{\cos(x)}{7\sin^{2}(x)+8\sin(x)}dx
integral of 1/((e^x+1)^2e^{-x)}	\int\:\frac{1}{(e^{x}+1)^{2}e^{-x}}dx
integral of (x^2)/2 1/(1+x^2)	\int\:\frac{x^{2}}{2}\frac{1}{1+x^{2}}dx
integral of (2x^2-x+3)	\int\:(2x^{2}-x+3)dx
integral of (x^2-x+5)/(x+3)	\int\:\frac{x^{2}-x+5}{x+3}dx
integral of (x-x^{-3})/(x^2+x^{-2)}	\int\:\frac{x-x^{-3}}{x^{2}+x^{-2}}dx
integral of (3x^2+4x-5)	\int\:(3x^{2}+4x-5)dx
integral of (2x-5)/(x^2-5x+3)	\int\:\frac{2x-5}{x^{2}-5x+3}dx
integral of 12x-3	\int\:12x-3dx
integral of (sqrt(x+2))	\int\:(\sqrt{x+2})dx
integral of-1/(sec(x))	\int\:-\frac{1}{\sec(x)}dx
integral of 3tan(x)sec^7(x)	\int\:3\tan(x)\sec^{7}(x)dx
integral of (xsqrt(x-8))	\int\:(x\sqrt{x-8})dx
integral of (2ax+b)/(sqrt(ax^2+bx+c))	\int\:\frac{2ax+b}{\sqrt{ax^{2}+bx+c}}dx
integral of (x+1)/(x(x^2+2))	\int\:\frac{x+1}{x(x^{2}+2)}dx
integral of (x^3-2x^2+1)/((x^2-2x+5)^2)	\int\:\frac{x^{3}-2x^{2}+1}{(x^{2}-2x+5)^{2}}dx
integral of x/(sqrt(x^2-14x+45))	\int\:\frac{x}{\sqrt{x^{2}-14x+45}}dx
integral of sqrt(a^2+t^2)	\int\:\sqrt{a^{2}+t^{2}}dt
integral of (tan(x)-sec(x))^2	\int\:(\tan(x)-\sec(x))^{2}dx
integral of tan^5(x/(18))	\int\:\tan^{5}(\frac{x}{18})dx
integral of (x+3)/((x-4)^2)	\int\:\frac{x+3}{(x-4)^{2}}dx
integral of y/(x+1)	\int\:\frac{y}{x+1}dx
integral of-4/(sin^2(x))	\int\:-\frac{4}{\sin^{2}(x)}dx
integral of x^5sqrt(x-4)	\int\:x^{5}\sqrt{x-4}dx
integral of 1/((2x+4)sqrt(x^2+4x+3))	\int\:\frac{1}{(2x+4)\sqrt{x^{2}+4x+3}}dx
integral of (2x^5-x^2)^2(x^{(-1)/2})	\int\:(2x^{5}-x^{2})^{2}(x^{\frac{-1}{2}})dx
integral of (-e^{-2x})/2	\int\:\frac{-e^{-2x}}{2}dx
integral of (2x^2+6x-16)/(2x+4)	\int\:\frac{2x^{2}+6x-16}{2x+4}dx
integral of (x-x^{-2})/(x^2+2x^{-1)}	\int\:\frac{x-x^{-2}}{x^{2}+2x^{-1}}dx
integral of 1/((3-x))	\int\:\frac{1}{(3-x)}dx
integral of (4x^3-3x^2+6x-27)/(x^4+9x^2)	\int\:\frac{4x^{3}-3x^{2}+6x-27}{x^{4}+9x^{2}}dx
integral of (e^x)/(13+e^x)	\int\:\frac{e^{x}}{13+e^{x}}dx
integral of x^{(-1)/5}	\int\:x^{\frac{-1}{5}}dx
integral of 3/(x^2-5x+4)	\int\:\frac{3}{x^{2}-5x+4}dx
integral of (6x-9)/(x^3+x)	\int\:\frac{6x-9}{x^{3}+x}dx
integral of 5/((sqrt(36-x^2))^3)	\int\:\frac{5}{(\sqrt{36-x^{2}})^{3}}dx
integral of (z^4)/((z^2-1)^2)	\int\:\frac{z^{4}}{(z^{2}-1)^{2}}dz
integral of 1000	\int\:1000dx
integral of e^{cos^2(x)}sin(2x)	\int\:e^{\cos^{2}(x)}\sin(2x)dx
integral of (2x-3)/(x^2-3x+6)	\int\:\frac{2x-3}{x^{2}-3x+6}dx
integral of x^2 1	\int\:x^{2}\frac{d}{1}dx
integral of-2e^{-t}+8t+6	\int\:-2e^{-t}+8t+6dt
integral of x_{0}	\int\:x_{0}dx
integral of 1/(5x^2-10x+6)	\int\:\frac{1}{5x^{2}-10x+6}dx
integral of sec^2(t)tan(t)	\int\:\sec^{2}(t)\tan(t)dt
integral of 3x-24	\int\:3x-24dx
integral of (7-2x)sqrt(9+16x-4x^2)	\int\:(7-2x)\sqrt{9+16x-4x^{2}}dx
integral of \sqrt[6]{x^5sqrt(x^4)}	\int\:\sqrt[6]{x^{5}\sqrt{x^{4}}}dx
integral of ((x^2-3x+2)/(x+1))	\int\:(\frac{x^{2}-3x+2}{x+1})dx
integral of-7/((x^2+7)^{3/2)}	\int\:-\frac{7}{(x^{2}+7)^{\frac{3}{2}}}dx
integral of ((x^4))/((x-1)^2(x+2))	\int\:\frac{(x^{4})}{(x-1)^{2}(x+2)}dx
integral of 3x^2(2-x^3)^8	\int\:3x^{2}(2-x^{3})^{8}dx
integral of (sqrt(3-4t^2))/(t^2)	\int\:\frac{\sqrt{3-4t^{2}}}{t^{2}}dt
integral of (e^x)/((e^x-6)(e^x+1))	\int\:\frac{e^{x}}{(e^{x}-6)(e^{x}+1)}dx
integral of 1/(x+1+sqrt(x))	\int\:\frac{1}{x+1+\sqrt{x}}dx
integral of (ln(x^2))/(3x)	\int\:\frac{\ln(x^{2})}{3x}dx
integral of e^{(e^x+x)}	\int\:e^{(e^{x}+x)}dx
integral of x^5+x+3	\int\:x^{5}+x+3dx
integral of x^3-0.3x^2-8.56x+8.448	\int\:x^{3}-0.3x^{2}-8.56x+8.448dx
integral of (2/x-x)^2	\int\:(\frac{2}{x}-x)^{2}dx
integral of 7/(x^2)-2/x	\int\:\frac{7}{x^{2}}-\frac{2}{x}dx
integral of sqrt(8x^2+1)	\int\:\sqrt{8x^{2}+1}dx
integral of (x-1)/(x^{2/3)+x^{1/3}+1}	\int\:\frac{x-1}{x^{\frac{2}{3}}+x^{\frac{1}{3}}+1}dx
integral of (sec(4x)-csc((2x)/3))	\int\:(\sec(4x)-\csc(\frac{2x}{3}))dx
integral of (9x^8+6)/((x^9+6x)^2)	\int\:\frac{9x^{8}+6}{(x^{9}+6x)^{2}}dx
integral of (2xy(y+2))/((2x^2+y^2)^2)	\int\:\frac{2xy(y+2)}{(2x^{2}+y^{2})^{2}}dx
integral of (x^2+12)/(xsqrt(x^2-9))	\int\:\frac{x^{2}+12}{x\sqrt{x^{2}-9}}dx
integral of 1/(7x-x^2)	\int\:\frac{1}{7x-x^{2}}dx
integral of+6e^{-3x}	\int\:+6e^{-3x}dx
integral of 2x^2cos(3x)	\int\:2x^{2}\cos(3x)dx
integral of (x-2)/(x(x+3)(x-4))	\int\:\frac{x-2}{x(x+3)(x-4)}dx

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