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Popular Calculus Problems

integral of-4sin(x)cos(x)	\int\:-4\sin(x)\cos(x)dx
integral of sqrt(\sqrt{y+1)-2}	\int\:\sqrt{\sqrt{y+1}-2}dy
integral of ((-4x+1))/((4x^2-2x+5))	\int\:\frac{(-4x+1)}{(4x^{2}-2x+5)}dx
integral of (x^2-5x+1)/(x^2-5x+4)	\int\:\frac{x^{2}-5x+1}{x^{2}-5x+4}dx
integral of sin(x/2)cos(x)	\int\:\sin(\frac{x}{2})\cos(x)dx
integral of 7x^{(-3)/4}	\int\:7x^{\frac{-3}{4}}dx
integral of 8tan(x)sec^5(x)	\int\:8\tan(x)\sec^{5}(x)dx
integral of ((16-t^2)^{3/2})/(t^6)	\int\:\frac{(16-t^{2})^{\frac{3}{2}}}{t^{6}}dt
integral of x^2(2y)/1 ^2	\int\:x^{2}\frac{d^{2}y}{1}dx^{2}
integral of e^x(1+tan(e^x))	\int\:e^{x}(1+\tan(e^{x}))dx
integral of 1/(x^2sqrt(1+2x+3x^2))	\int\:\frac{1}{x^{2}\sqrt{1+2x+3x^{2}}}dx
integral of (x^2+2)/((x-1)^2(x+2))	\int\:\frac{x^{2}+2}{(x-1)^{2}(x+2)}dx
integral of ((1-cos(x)))/x	\int\:\frac{(1-\cos(x))}{x}dx
integral of sin(2x+pi/4)	\int\:\sin(2x+\frac{π}{4})dx
integral of (x^2-2)e^{-x}	\int\:(x^{2}-2)e^{-x}dx
integral of (x^7)/(1+x^8)	\int\:\frac{x^{7}}{1+x^{8}}dx
integral of (3x+8)/(x^3+4x)	\int\:\frac{3x+8}{x^{3}+4x}dx
integral of (-4x^3+6x^2+5x-5)	\int\:(-4x^{3}+6x^{2}+5x-5)dx
integral of e^{2q}cos(3e^q)	\int\:e^{2q}\cos(3e^{q})dq
integral of 1/((2-x)sqrt(1-x^2))	\int\:\frac{1}{(2-x)\sqrt{1-x^{2}}}dx
integral of 11csc^2(x)	\int\:11\csc^{2}(x)dx
integral of (3x)/((2-5x^2)^2)	\int\:\frac{3x}{(2-5x^{2})^{2}}dx
integral of 1/x*sin(x)	\int\:\frac{1}{x}\cdot\:\sin(x)dx
integral of 3sin(5x)cos(4x)	\int\:3\sin(5x)\cos(4x)dx
integral of (x^2)/((1-x)(1+x))	\int\:\frac{x^{2}}{(1-x)(1+x)}dx
integral of sqrt((1+cos(x))/2)	\int\:\sqrt{\frac{1+\cos(x)}{2}}dx
integral of ((z+1))/(\sqrt[3]{z^2+2z+2)}	\int\:\frac{(z+1)}{\sqrt[3]{z^{2}+2z+2}}dz
integral of (x+2)e^{2x}	\int\:(x+2)e^{2x}dx
integral of sin(u)e^u	\int\:\sin(u)e^{u}du
integral of 3/(sin(3x))	\int\:\frac{3}{\sin(3x)}dx
integral of t^2*e^{-st}	\int\:t^{2}\cdot\:e^{-st}dt
integral of 1/(t+t^3)	\int\:\frac{1}{t+t^{3}}dt
integral of ln(e^{2t-1})	\int\:\ln(e^{2t-1})dt
integral of arctan(a)x	\int\:\arctan(a)xdx
integral of x^6(2-x)	\int\:x^{6}(2-x)dx
integral of (x^2+3)/(x^6(x^2+1))	\int\:\frac{x^{2}+3}{x^{6}(x^{2}+1)}dx
integral of ((x+1))/(sqrt(3x^2+6x+5))	\int\:\frac{(x+1)}{\sqrt{3x^{2}+6x+5}}dx
integral of sqrt(7-2x^2)	\int\:\sqrt{7-2x^{2}}dx
integral of 4sin(x)cos^3(x)	\int\:4\sin(x)\cos^{3}(x)dx
integral of 1/64 e^{4x}	\int\:\frac{1}{64}e^{4x}dx
integral of (4x-2)/(x(x-2)(x+1))	\int\:\frac{4x-2}{x(x-2)(x+1)}dx
integral of 1/(sqrt(25+y^2))	\int\:\frac{1}{\sqrt{25+y^{2}}}dy
integral of (30)/(0.06t+5)	\int\:\frac{30}{0.06t+5}dt
integral of 3x^2+e^x-6	\int\:3x^{2}+e^{x}-6dx
integral of (x-2)e^{x^2-4x}	\int\:(x-2)e^{x^{2}-4x}dx
integral of (4-x^2)/(x^2)	\int\:\frac{4-x^{2}}{x^{2}}dx
integral of (64)/(x^5)	\int\:\frac{64}{x^{5}}dx
integral of (((2x)/7)^2-8/3 x^4)	\int\:((\frac{2x}{7})^{2}-\frac{8}{3}x^{4})dx
integral of (sqrt(z^2-4))/z	\int\:\frac{\sqrt{z^{2}-4}}{z}dz
integral of (2x+7)(x^2+7x+3)^{4/5}	\int\:(2x+7)(x^{2}+7x+3)^{\frac{4}{5}}dx
integral of u-1/(u^2)	\int\:u-\frac{1}{u^{2}}du
integral of 4/(x^2+18x+80)	\int\:\frac{4}{x^{2}+18x+80}dx
integral of xe^{(3x^2)/2}	\int\:xe^{\frac{3x^{2}}{2}}dx
integral of 0.024(0.06x^2-4x)+150	\int\:0.024(0.06x^{2}-4x)+150dx
integral of (2x-4)/(x^2+4x+29)	\int\:\frac{2x-4}{x^{2}+4x+29}dx
integral of sin^5(2x)cot^2(2x)	\int\:\sin^{5}(2x)\cot^{2}(2x)dx
integral of 2/3 x^{3/2}-2sin(x)	\int\:\frac{2}{3}x^{\frac{3}{2}}-2\sin(x)dx
integral of (x+2)^2(x-3)^3	\int\:(x+2)^{2}(x-3)^{3}dx
integral of (3-2x)^{1/2}	\int\:(3-2x)^{\frac{1}{2}}dx
integral of 1/5-8/x	\int\:\frac{1}{5}-\frac{8}{x}dx
integral of 4x^3-xy+cos(y)	\int\:4x^{3}-xy+\cos(y)dx
integral of r/(r^2+1)	\int\:\frac{r}{r^{2}+1}dr
integral of (tan(x)-cot(x))^3	\int\:(\tan(x)-\cot(x))^{3}dx
integral of 3x^2-4x+12	\int\:3x^{2}-4x+12dx
integral of 1/(y(1+y))	\int\:\frac{1}{y(1+y)}dy
integral of sin(1/5 x)sin(1/10 x)	\int\:\sin(\frac{1}{5}x)\sin(\frac{1}{10}x)dx
integral of 2e^{2x}x	\int\:2e^{2x}xdx
integral of ((x^2))/((a^2-x^2)^{3/2)}	\int\:\frac{(x^{2})}{(a^{2}-x^{2})^{\frac{3}{2}}}dx
integral of 1/(xln(3))	\int\:\frac{1}{x\ln(3)}dx
integral of (10s+10)/((s^2+1)(s-1)^3)	\int\:\frac{10s+10}{(s^{2}+1)(s-1)^{3}}ds
integral of x-1	integral\:x-1
integral of sinh^5(x)	\int\:\sinh^{5}(x)dx
integral of (x^2-x^5+sqrt(x))/(x^5)	\int\:\frac{x^{2}-x^{5}+\sqrt{x}}{x^{5}}dx
integral of (3e^{3x})/(x+10)	\int\:\frac{3e^{3x}}{x+10}dx
integral of cos^5(3x)sin^3(3x)	\int\:\cos^{5}(3x)\sin^{3}(3x)dx
integral of e^{-3x}-3x	\int\:e^{-3x}-3xdx
integral of 1/((4x+5)^3)	\int\:\frac{1}{(4x+5)^{3}}dx
integral of arccsc(2x)	\int\:\arccsc(2x)dx
integral of 14xarccos(x)	\int\:14x\arccos(x)dx
integral of (2x^2+2x-x)^{10}(2x+1)	\int\:(2x^{2}+2x-x)^{10}(2x+1)dx
integral of 7/5	\int\:\frac{7}{5}dx
integral of sin^4(2a)x	\int\:\sin^{4}(2a)xdx
integral of (1+2x)^42	\int\:(1+2x)^{4}2dx
integral of (ln(x^5))/(5x^3)	\int\:\frac{\ln(x^{5})}{5x^{3}}dx
integral of 8x^4y	\int\:8x^{4}ydy
integral of (sin(2x)*3x)/2	\int\:\frac{\sin(2x)\cdot\:3x}{2}dx
integral of (-x^2-x+2)	\int\:(-x^{2}-x+2)dx
integral of (2x^3+5x^2-3x+1)ln(x)	\int\:(2x^{3}+5x^{2}-3x+1)\ln(x)dx
integral of 1/x+c	\int\:\frac{1}{x}+cdx
integral of e^{-2y}(1+e^{-2y})^{5/2}	\int\:e^{-2y}(1+e^{-2y})^{\frac{5}{2}}dy
integral of 2/((x-1)(x+1))	\int\:\frac{2}{(x-1)(x+1)}dx
integral of t^2sin(B)t	\int\:t^{2}\sin(B)tdt
integral of 1/(sqrt(x)(\sqrt{x)-2)}	\int\:\frac{1}{\sqrt{x}(\sqrt{x}-2)}dx
integral of (x-5)^6	\int\:(x-5)^{6}dx
integral of 1/(3x^2+4x+3)	\int\:\frac{1}{3x^{2}+4x+3}dx
integral of 0.9x^2-0.04x^3	\int\:0.9x^{2}-0.04x^{3}dx
integral of-1/x ln(x)	\int\:-\frac{1}{x}\ln(x)dx
integral of 4/(2+9x^2)	\int\:\frac{4}{2+9x^{2}}dx
integral of (x^4+1)/(x^3+2x)	\int\:\frac{x^{4}+1}{x^{3}+2x}dx
integral of ycos(xy)+y+1	\int\:y\cos(xy)+y+1dx

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