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Popular Calculus Problems

integral of 2/x ln(x)	\int\:\frac{2}{x}\ln(x)dx
integral of (sqrt(tan(t)))/(sin(2t))	\int\:\frac{\sqrt{\tan(t)}}{\sin(2t)}dt
integral of+(2ax+b)(ax^2+bx)^7	\int\:+(2ax+b)(ax^{2}+bx)^{7}dx
integral of x^{(-4)/6}	\int\:x^{\frac{-4}{6}}dx
integral of (5^{tan(x)})/(cos^2(x))	\int\:\frac{5^{\tan(x)}}{\cos^{2}(x)}dx
integral of (3x^2+1)/(x^3+x-1)	\int\:\frac{3x^{2}+1}{x^{3}+x-1}dx
integral of e^{kx}sin(x)	\int\:e^{kx}\sin(x)dx
integral of (y^3)/(2y-1)	\int\:\frac{y^{3}}{2y-1}dy
integral of+sqrt(sec^2(x)-1)	\int\:+\sqrt{\sec^{2}(x)-1}dx
integral of 2sin(4x)ln(sin(4x))	\int\:2\sin(4x)\ln(\sin(4x))dx
integral of (6(x^2+4))/(x(x^2+6))	\int\:\frac{6(x^{2}+4)}{x(x^{2}+6)}dx
integral of 1/(y^2+6y+10)	\int\:\frac{1}{y^{2}+6y+10}dy
integral of (x+1)/(x^3-x^2-6x)	\int\:\frac{x+1}{x^{3}-x^{2}-6x}dx
integral of x^2+\sqrt[4]{x}	\int\:x^{2}+\sqrt[4]{x}dx
integral of 3/(sqrt(e^{2a)-4)}	\int\:\frac{3}{\sqrt{e^{2a}-4}}da
integral of 4/(x^2(2x+3))	\int\:\frac{4}{x^{2}(2x+3)}dx
integral of 1/(x^2-4x+20)	\int\:\frac{1}{x^{2}-4x+20}dx
integral of (28x^3-56x^2+9)/(x^2-2x)	\int\:\frac{28x^{3}-56x^{2}+9}{x^{2}-2x}dx
integral of (3x+8)/(x^2+2x)	\int\:\frac{3x+8}{x^{2}+2x}dx
integral of ((5x-5))/(3x^2-8x-3)	\int\:\frac{(5x-5)}{3x^{2}-8x-3}dx
integral of (3^{cos(2z)})/(csc(2z))	\int\:\frac{3^{\cos(2z)}}{\csc(2z)}dz
integral of (8x+4)/(x^2+1)	\int\:\frac{8x+4}{x^{2}+1}dx
integral of 3(sqrt(2x)-x+4)	\int\:3(\sqrt{2x}-x+4)dx
integral of 7xe^{9x^2}	\int\:7xe^{9x^{2}}dx
integral of (-2y)/((1-y^2)^{1/2)}	\int\:\frac{-2y}{(1-y^{2})^{\frac{1}{2}}}dy
integral of 2x(x^2+5)^{30}	\int\:2x(x^{2}+5)^{30}dx
integral of (4x)/((x+1)(x^2+1))	\int\:\frac{4x}{(x+1)(x^{2}+1)}dx
integral of 3sqrt(x)-3	\int\:3\sqrt{x}-3dx
integral of sin(1/8)xsin(1/16)x	\int\:\sin(\frac{1}{8})x\sin(\frac{1}{16})xdx
integral of (-x^2)/(1+x^2)	\int\:\frac{-x^{2}}{1+x^{2}}dx
integral of (x)(2a^2)/(x^2)	\int\:(x)\frac{2a^{2}}{x^{2}}dx
integral of ((x))/(x+1)	\int\:\frac{(x)}{x+1}dx
integral of ((x+2)/(x^2-4))	\int\:(\frac{x+2}{x^{2}-4})dx
integral of (10x)/(x^2+x-6)	\int\:\frac{10x}{x^{2}+x-6}dx
integral of-2/(xln(x))	\int\:-\frac{2}{x\ln(x)}dx
integral of 1/(-2x+1)	\int\:\frac{1}{-2x+1}dx
integral of (1-2x^2)^3	\int\:(1-2x^{2})^{3}dx
integral of (cos(x))/((4+sin^2(x)))	\int\:\frac{\cos(x)}{(4+\sin^{2}(x))}dx
integral of (x^2+2x+3)/(sqrt(-x^2+4x))	\int\:\frac{x^{2}+2x+3}{\sqrt{-x^{2}+4x}}dx
integral of ye^{xy}+y/(x^2)	\int\:ye^{xy}+\frac{y}{x^{2}}dx
integral of (e^x-6x)/4	\int\:\frac{e^{x}-6x}{4}dx
integral of (6x-5)/(sqrt(3x^2+4x+1))	\int\:\frac{6x-5}{\sqrt{3x^{2}+4x+1}}dx
integral of 7/(2sqrt(x))	\int\:\frac{7}{2\sqrt{x}}dx
integral of 7/(26+x^2-10x)	\int\:\frac{7}{26+x^{2}-10x}dx
integral of (1+tan^2(x))tan^2(x)	\int\:(1+\tan^{2}(x))\tan^{2}(x)dx
integral of (cos^2(2x))/2	\int\:\frac{\cos^{2}(2x)}{2}dx
integral of (x^{1/2})/(1+x^{1/3)}	\int\:\frac{x^{\frac{1}{2}}}{1+x^{\frac{1}{3}}}dx
integral of (x^4-5x+1)	\int\:(x^{4}-5x+1)dx
integral of (x^4)/2-x+2/(x^3)	\int\:\frac{x^{4}}{2}-x+\frac{2}{x^{3}}dx
integral of 1/((x^2+49)^2)	\int\:\frac{1}{(x^{2}+49)^{2}}dx
integral of (6x+24)/(x^2+8x-10)	\int\:\frac{6x+24}{x^{2}+8x-10}dx
integral of arcsec(5x)	\int\:\arcsec(5x)dx
integral of (-y^2)/2	\int\:\frac{-y^{2}}{2}dy
integral of (sin(x))^7(cos(x))^4	\int\:(\sin(x))^{7}(\cos(x))^{4}dx
integral of 3xcos(nx)	\int\:3x\cos(nx)dx
integral of x/(sqrt(a-x^2))	\int\:\frac{x}{\sqrt{a-x^{2}}}dx
integral of (x^4-2x^2-1)/(sqrt(x))	\int\:\frac{x^{4}-2x^{2}-1}{\sqrt{x}}dx
integral of sin(2x^2)2x	\int\:\sin(2x^{2})2xdx
integral of (3x+2)/(2x-1)	\int\:\frac{3x+2}{2x-1}dx
integral of (3x^2+x-3)	\int\:(3x^{2}+x-3)dx
integral of 4cos(θ)cos^5(sin(θ))	\int\:4\cos(θ)\cos^{5}(\sin(θ))dθ
integral of 1/(4-7x)	\int\:\frac{1}{4-7x}dx
integral of (ln(ln(ln(x))))/(xln(x))	\int\:\frac{\ln(\ln(\ln(x)))}{x\ln(x)}dx
integral of x^5\sqrt[3]{x^2+1}	\int\:x^{5}\sqrt[3]{x^{2}+1}dx
integral of (10x)/((5x^2-2)^4)	\int\:\frac{10x}{(5x^{2}-2)^{4}}dx
integral of 3-4sqrt(x)	\int\:3-4\sqrt{x}dx
integral of sqrt(x)sqrt(0.04x^{3/4)+4}	\int\:\sqrt{x}\sqrt{0.04x^{\frac{3}{4}}+4}dx
integral of 3/2 sqrt(x)	integral\:\frac{3}{2}\sqrt{x}
integral of x*\sqrt[3]{x+1}	\int\:x\cdot\:\sqrt[3]{x+1}dx
integral of coth(5x)	\int\:\coth(5x)dx
integral of (cos(3x))/3	\int\:\frac{\cos(3x)}{3}dx
integral of (xcos(y)+5xe^{5xy})	\int\:(x\cos(y)+5xe^{5xy})dy
integral of (x-3)/(sqrt(1-x^2))	\int\:\frac{x-3}{\sqrt{1-x^{2}}}dx
integral of 27xsec^2(3x)	\int\:27x\sec^{2}(3x)dx
integral of 1/((e^x+1))	integral\:\frac{1}{(e^{x}+1)}
integral of sqrt(2x+1)x	\int\:\sqrt{2x+1}xdx
integral of pi+x	\int\:π+xdx
integral of (e^x-3e^{2x})/(e^x)	\int\:\frac{e^{x}-3e^{2x}}{e^{x}}dx
integral of (sqrt(x-7))/(x+4)	\int\:\frac{\sqrt{x-7}}{x+4}dx
integral of (x^5+3)	\int\:(x^{5}+3)dx
integral of x^2(a^2-x^2)^{-3/2}	\int\:x^{2}(a^{2}-x^{2})^{-\frac{3}{2}}dx
integral of-sqrt(0.06(60-t))	\int\:-\sqrt{0.06(60-t)}dt
integral of (e 1/(x^2))/(x^3)	\int\:\frac{e\frac{1}{x^{2}}}{x^{3}}dx
integral of (3e^x+2)	\int\:(3e^{x}+2)dx
integral of (-csc(x))/(csc(x)-cot(x))	\int\:\frac{-\csc(x)}{\csc(x)-\cot(x)}dx
integral of (x^3)/(x^8+9)	\int\:\frac{x^{3}}{x^{8}+9}dx
integral of x^2sqrt(2x^3+4)	\int\:x^{2}\sqrt{2x^{3}+4}dx
integral of (1+1/x)^3	\int\:(1+\frac{1}{x})^{3}dx
integral of tan(v)	\int\:\tan(v)dv
integral of 8x^3y	\int\:8x^{3}ydx
integral of e^{-st}(tcos(t))	\int\:e^{-st}(t\cos(t))dt
integral of e^{-2t^2}	\int\:e^{-2t^{2}}dt
integral of (x^3)/(x^4-6x^2+1)	\int\:\frac{x^{3}}{x^{4}-6x^{2}+1}dx
integral of 24x^3+1/x	\int\:24x^{3}+\frac{1}{x}dx
integral of 1/(1+e^{15x)}	\int\:\frac{1}{1+e^{15x}}dx
integral of 6x(ln(x^5))^2	\int\:6x(\ln(x^{5}))^{2}dx
integral of (cos(θ))/(1+cos(θ))	\int\:\frac{\cos(θ)}{1+\cos(θ)}dθ
integral of (x^2+x+6)/(x^3-8)	\int\:\frac{x^{2}+x+6}{x^{3}-8}dx
integral of sin(10x)sin(20x)	\int\:\sin(10x)\sin(20x)dx
integral of 1/(sqrt(4x^2+4x+5))	\int\:\frac{1}{\sqrt{4x^{2}+4x+5}}dx

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