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Popular Calculus Problems

integral of (w^2)/((w-6)(w^2-36))	\int\:\frac{w^{2}}{(w-6)(w^{2}-36)}dw
integral of 9e^{9x}sin(e^{9x})	\int\:9e^{9x}\sin(e^{9x})dx
integral of (3x-1)/((x-1)^2(x-3))	\int\:\frac{3x-1}{(x-1)^{2}(x-3)}dx
integral of e\sqrt[3]{x}	\int\:e\sqrt[3]{x}dx
integral of 1/(y^3-4y)	\int\:\frac{1}{y^{3}-4y}dy
integral of cos(5x+5)	\int\:\cos(5x+5)dx
integral of (3x-3)/(2(2x^2+2x+3))	\int\:\frac{3x-3}{2(2x^{2}+2x+3)}dx
integral of x^{11}ln(2x^6)	\int\:x^{11}\ln(2x^{6})dx
integral of p(p+1)^4	\int\:p(p+1)^{4}dp
integral of sin^4(4x)cos^4(4x)	\int\:\sin^{4}(4x)\cos^{4}(4x)dx
integral of y/z	\int\:\frac{y}{z}dz
integral of xsqrt(x^2-8)	\int\:x\sqrt{x^{2}-8}dx
integral of-11x	\int\:-11xdx
integral of (6x^2+4x+2)	\int\:(6x^{2}+4x+2)dx
integral of (sqrt(x-1))	\int\:(\sqrt{x-1})dx
integral of-1/r	\int\:-\frac{1}{r}dr
integral of (7x+2)/(sqrt(1-25x^2))	\int\:\frac{7x+2}{\sqrt{1-25x^{2}}}dx
integral of 7x^3sqrt(9-x^2)	\int\:7x^{3}\sqrt{9-x^{2}}dx
integral of 1/(sin^2(x)+3cos^2(x))	\int\:\frac{1}{\sin^{2}(x)+3\cos^{2}(x)}dx
integral of (x+9)^4	\int\:(x+9)^{4}dx
integral of-(4000)/((1+0.4t)^2)	\int\:-\frac{4000}{(1+0.4t)^{2}}dt
integral of x^{1/4}+8	\int\:x^{\frac{1}{4}}+8dx
integral of (cos(x))^{-2}	\int\:(\cos(x))^{-2}dx
integral of 1/(8t)	\int\:\frac{1}{8t}dt
integral of (x+sin(x))/(x^2-2cos(x))	\int\:\frac{x+\sin(x)}{x^{2}-2\cos(x)}dx
integral of (0.4x^3)/(sqrt(0.2x^4+8000))	\int\:\frac{0.4x^{3}}{\sqrt{0.2x^{4}+8000}}dx
integral of cos^5(x)(-sin(x))	\int\:\cos^{5}(x)(-\sin(x))dx
integral of xsin((npix)/4)	\int\:x\sin(\frac{nπx}{4})dx
integral of (5x^6+8x^3+11)	\int\:(5x^{6}+8x^{3}+11)dx
integral of (3x^2+8x+7)	\int\:(3x^{2}+8x+7)dx
integral of 10^x2^{3x}	\int\:10^{x}2^{3x}dx
integral of 3(sin(x))sqrt(1+cos(x))	\int\:3(\sin(x))\sqrt{1+\cos(x)}dx
integral of a(x^2+y^2)	\int\:a(x^{2}+y^{2})dx
integral of-cos(x-y)	\int\:-\cos(x-y)dy
integral of 1/4 (e^{-3t}t)	\int\:\frac{1}{4}(e^{-3t}t)dt
integral of (1/(7+7x^2))	\int\:(\frac{1}{7+7x^{2}})dx
integral of t^3cos(t)	\int\:t^{3}\cos(t)dt
integral of (1+e^{2x})/(4e^x)	\int\:\frac{1+e^{2x}}{4e^{x}}dx
integral of cos(x)1/x	\int\:\cos(x)d\frac{1}{x}dx
integral of x^2*sqrt(x^3-5)	\int\:x^{2}\cdot\:\sqrt{x^{3}-5}dx
integral of (x^3)/(x^2+10)	\int\:\frac{x^{3}}{x^{2}+10}dx
integral of 4/(5+x^2)	\int\:\frac{4}{5+x^{2}}dx
integral of (-2x^2+4x)	\int\:(-2x^{2}+4x)dx
integral of (cos(5x))/5	\int\:\frac{\cos(5x)}{5}dx
integral of k(1-y)y^n	\int\:k(1-y)y^{n}dy
integral of 2xsqrt(y-1)	\int\:2x\sqrt{y-1}dx
integral of x(x-3)^2(x+1)	\int\:x(x-3)^{2}(x+1)dx
integral of sqrt(x)(x^{3/2}-10)^4	\int\:\sqrt{x}(x^{\frac{3}{2}}-10)^{4}dx
integral of x^{(-1)}	\int\:x^{(-1)}dx
integral of (x+3)/(x^2+4x+5)	\int\:\frac{x+3}{x^{2}+4x+5}dx
integral of 1/(sqrt(x)\sqrt{1-x)}dx	integral\:\frac{1}{\sqrt{x}\sqrt{1-x}}dx
integral of sin(v)cos(v)	\int\:\sin(v)\cos(v)dv
integral of sin(x-4)	\int\:\sin(x-4)dx
integral of sin^2(x)e^{-2x}	\int\:\sin^{2}(x)e^{-2x}dx
integral of-3x^2cos(x)	\int\:-3x^{2}\cos(x)dx
integral of (3+3x-2x^2)/(5-7x+3x^2-x^3)	\int\:\frac{3+3x-2x^{2}}{5-7x+3x^{2}-x^{3}}dx
integral of (8x)/(4x^2-5)	\int\:\frac{8x}{4x^{2}-5}dx
integral of (cos(x)-1)^2	\int\:(\cos(x)-1)^{2}dx
integral of (sin(x))^n*cos(x)	\int\:(\sin(x))^{n}\cdot\:\cos(x)dx
integral of x^3 1/(x+1)	\int\:x^{3}\frac{1}{x+1}dx
integral of (3x-2)/(sqrt(4-5x))	\int\:\frac{3x-2}{\sqrt{4-5x}}dx
integral of ((t+8)^2)/(t^3)	\int\:\frac{(t+8)^{2}}{t^{3}}dt
integral of (5e^x+3/(x^2))	\int\:(5e^{x}+\frac{3}{x^{2}})dx
integral of (3e^{2x})/(sqrt(1-e^{2x))}	\int\:\frac{3e^{2x}}{\sqrt{1-e^{2x}}}dx
integral of cos^8(x)sin^5(x)	\int\:\cos^{8}(x)\sin^{5}(x)dx
integral of 1/(10^zln(10))	\int\:\frac{1}{10^{z}\ln(10)}
integral of s(5s^2-8)^6	\int\:s(5s^{2}-8)^{6}ds
integral of 1/(xsqrt(5-3x^2))	\int\:\frac{1}{x\sqrt{5-3x^{2}}}dx
integral of x*e^{sqrt(x)}	\int\:x\cdot\:e^{\sqrt{x}}dx
integral of (ycos(x))	\int\:(y\cos(x))dx
integral of (2sin(x))/(sqrt(cos(x)))	\int\:\frac{2\sin(x)}{\sqrt{\cos(x)}}dx
integral of (1+cos^2(5)x^2csc^2(5)x^2)6x	\int\:(1+\cos^{2}(5)x^{2}\csc^{2}(5)x^{2})6xdx
integral of xcot^2(2x^2)	\int\:x\cot^{2}(2x^{2})dx
integral of s/(s^2+1)	\int\:\frac{s}{s^{2}+1}ds
integral of ((4x^3+2x^2+1)/(4x^3-x))	\int\:(\frac{4x^{3}+2x^{2}+1}{4x^{3}-x})dx
integral of xsqrt(3x^2+2)	\int\:x\sqrt{3x^{2}+2}dx
integral of (cos(2x)-sin(2x))^2	\int\:(\cos(2x)-\sin(2x))^{2}dx
integral of x(6x^2+x^{1/2})	\int\:x(6x^{2}+x^{\frac{1}{2}})dx
integral of (x-1/(x^2))(x^2+2/x)^3	\int\:(x-\frac{1}{x^{2}})(x^{2}+\frac{2}{x})^{3}dx
integral of (x^2)/(x^2+x)	\int\:\frac{x^{2}}{x^{2}+x}dx
integral of tan^4(3x)sec^4(3x)	\int\:\tan^{4}(3x)\sec^{4}(3x)dx
integral of 1/(sqrt(-x^2-2x))	\int\:\frac{1}{\sqrt{-x^{2}-2x}}dx
integral of ln(x^2+6x+10)	\int\:\ln(x^{2}+6x+10)dx
integral of xe^{-0.2x^2}	\int\:xe^{-0.2x^{2}}dx
integral of (2e^x-x^3)	\int\:(2e^{x}-x^{3})dx
integral of (8x+5)/((x^2+4x+8)(x-1))	\int\:\frac{8x+5}{(x^{2}+4x+8)(x-1)}dx
integral of (2x)/(1-2x)	\int\:\frac{2x}{1-2x}dx
integral of ln(2)2^x	\int\:\ln(2)2^{x}dx
integral of x^5-3x+8	\int\:x^{5}-3x+8dx
integral of 1/100 x	\int\:\frac{1}{100}xdx
integral of (2tan(x))/(cos(2x))	\int\:\frac{2\tan(x)}{\cos(2x)}dx
integral of (4x^3)/(sqrt(1-x^8))	\int\:\frac{4x^{3}}{\sqrt{1-x^{8}}}dx
integral of x^5+7sqrt(x)	\int\:x^{5}+7\sqrt{x}dx
integral of 8xe^{5x^2}	\int\:8xe^{5x^{2}}dx
integral of (x^2+47)/(x^2+49)	\int\:\frac{x^{2}+47}{x^{2}+49}dx
integral of sin(x)e^{-3x}	\int\:\sin(x)e^{-3x}dx
integral of (x^2+2x-1)/(x^3+x^2+x+1)	\int\:\frac{x^{2}+2x-1}{x^{3}+x^{2}+x+1}dx
integral of (2x)/(y^3)	\int\:\frac{2x}{y^{3}}dx
integral of 1/(8x+2)	\int\:\frac{1}{8x+2}dx
integral of 1/(x^2)cos(1/(sqrt(x)))	\int\:\frac{1}{x^{2}}\cos(\frac{1}{\sqrt{x}})dx

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