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Popular Calculus Problems
integral of 1/(xsqrt(log_{e)(\sqrt{x))}}
\int\:\frac{1}{x\sqrt{\log_{e}(\sqrt{x})}}dx
integral of (x*sin(x))
\int\:(x\cdot\:\sin(x))dx
integral of sqrt(8-4x^2)
\int\:\sqrt{8-4x^{2}}dx
integral of (x^2+x)^8(2x+1)
\int\:(x^{2}+x)^{8}(2x+1)dx
integral of xsqrt(x^2)+1
\int\:x\sqrt{x^{2}}+1dx
integral of 1/((x+2)(x^2+2x+4)^2)
\int\:\frac{1}{(x+2)(x^{2}+2x+4)^{2}}dx
integral of 4sqrt(y)
\int\:4\sqrt{y}dy
integral of (3t)/(t^2+1)
\int\:\frac{3t}{t^{2}+1}dt
integral of x^{2x}(1+ln(x))
\int\:x^{2x}(1+\ln(x))dx
integral of (1+7x)^{1/3}
\int\:(1+7x)^{\frac{1}{3}}dx
integral of 6x+6
\int\:6x+6dx
integral of x*2e^{-2x}
\int\:x\cdot\:2e^{-2x}dx
integral of-6sqrt(x)
\int\:-6\sqrt{x}dx
integral of 2/(x^{1/3)}
\int\:\frac{2}{x^{\frac{1}{3}}}dx
integral of e^{9x-7}
\int\:e^{9x-7}dx
integral of ((1+sin(x))^2)/(cos^2(x))
\int\:\frac{(1+\sin(x))^{2}}{\cos^{2}(x)}dx
integral of cos(αx)
\int\:\cos(αx)dx
integral of xsqrt(2x+4)
\int\:x\sqrt{2x+4}dx
integral of (L^2)/(h^2)x^2
\int\:\frac{L^{2}}{h^{2}}x^{2}dx
integral of cos(20x)
\int\:\cos(20x)dx
integral of (x^4)/(x^2+a^2)
\int\:\frac{x^{4}}{x^{2}+a^{2}}dx
integral of 4x^3(2x^4+4)^7
\int\:4x^{3}(2x^{4}+4)^{7}dx
integral of ln^2(x)
integral\:\ln^{2}(x)
integral of 1ln(x)
\int\:1\ln(x)dx
integral of (x^3+5x^2-2)
\int\:(x^{3}+5x^{2}-2)dx
integral of (sqrt(x^3+1))
\int\:(\sqrt{x^{3}+1})dx
integral of ((x^2+x+6))/(x^3+4x^2+6x)
\int\:\frac{(x^{2}+x+6)}{x^{3}+4x^{2}+6x}dx
integral of 2x*sqrt(1+x^2)
\int\:2x\cdot\:\sqrt{1+x^{2}}dx
integral of (ln(x+1))/((x+2)^2)
\int\:\frac{\ln(x+1)}{(x+2)^{2}}dx
integral of log^2_{e}(x)
\int\:\log^{2}_{e}(x)dx
integral of (sin(2x))/((1-cos(2x))^3)
\int\:\frac{\sin(2x)}{(1-\cos(2x))^{3}}dx
integral of (4x^7-5x^2+2)/(x^7)
\int\:\frac{4x^{7}-5x^{2}+2}{x^{7}}dx
integral of (sin(2x))^4
\int\:(\sin(2x))^{4}dx
integral of 9x^{-2/3}-2x^{5/3}
\int\:9x^{-\frac{2}{3}}-2x^{\frac{5}{3}}dx
integral of (y^3-y-1)/(y-2)
\int\:\frac{y^{3}-y-1}{y-2}dy
integral of x(cos(2x))
\int\:x(\cos(2x))dx
integral of 1/(z^3+1)
\int\:\frac{1}{z^{3}+1}dz
integral of (x+9)/(2x^2+x-1)
\int\:\frac{x+9}{2x^{2}+x-1}dx
integral of (x^3+3x-4)/(x-2)
\int\:\frac{x^{3}+3x-4}{x-2}dx
integral of (e^{x^2}-2x)/(e^{x^2)}
\int\:\frac{e^{x^{2}}-2x}{e^{x^{2}}}dx
integral of (e^{3x})/(e^{3x)-8}
\int\:\frac{e^{3x}}{e^{3x}-8}dx
integral of 20x^4+12x^3+6x+9
\int\:20x^{4}+12x^{3}+6x+9dx
integral of ye^{2xy}
\int\:ye^{2xy}dx
integral of 1/(x*sqrt(1-ln^2(x)))
\int\:\frac{1}{x\cdot\:\sqrt{1-\ln^{2}(x)}}dx
integral of x^3(3+x^4)^7
\int\:x^{3}(3+x^{4})^{7}dx
integral of cot(mx)csc^2(mx)
\int\:\cot(mx)\csc^{2}(mx)dx
integral of (3-5x+7x^2+x^3)/(x^2)
\int\:\frac{3-5x+7x^{2}+x^{3}}{x^{2}}dx
integral of x^5ln(9x^3)
\int\:x^{5}\ln(9x^{3})dx
integral of (4x+8)
\int\:(4x+8)dx
integral of tan^3(t)
\int\:\tan^{3}(t)dt
integral of (12x)/((3x^2-9)^5)
\int\:\frac{12x}{(3x^{2}-9)^{5}}dx
integral of (2x+cos(x))
\int\:(2x+\cos(x))dx
integral of 7x^{4/7}
\int\:7x^{\frac{4}{7}}dx
integral of (x^3-x+1)/(x^2(x-1)^3)
\int\:\frac{x^{3}-x+1}{x^{2}(x-1)^{3}}dx
integral of ((-4x-4x^5)/(x^2)+5e^{7x})
\int\:(\frac{-4x-4x^{5}}{x^{2}}+5e^{7x})dx
integral of xsqrt((1+x^2)^3)
\int\:x\sqrt{(1+x^{2})^{3}}dx
integral of 1/(xsqrt(ln(x)+1))
\int\:\frac{1}{x\sqrt{\ln(x)+1}}dx
integral of 5xe^{-2x^2}
\int\:5xe^{-2x^{2}}dx
integral of 9x^2sqrt(x^3+1)
\int\:9x^{2}\sqrt{x^{3}+1}dx
integral of (4x^2)/((x^2-9)^{3/2)}
\int\:\frac{4x^{2}}{(x^{2}-9)^{\frac{3}{2}}}dx
integral of (e^{\sqrt[4]{x}})/(sqrt(x))
\int\:\frac{e^{\sqrt[4]{x}}}{\sqrt{x}}dx
integral of (e^{-x})/(e^{-2x)+1}
\int\:\frac{e^{-x}}{e^{-2x}+1}dx
integral of 2(2x+3)^3
\int\:2(2x+3)^{3}dx
integral of (x^2-2x+3)/(sqrt(x))
\int\:\frac{x^{2}-2x+3}{\sqrt{x}}dx
integral of 9/(sqrt(2-3x))
\int\:\frac{9}{\sqrt{2-3x}}dx
integral of 1/(\sqrt[3]{x^5)}+sin(x)
\int\:\frac{1}{\sqrt[3]{x^{5}}}+\sin(x)dx
integral of 3/(-5x+2)
\int\:\frac{3}{-5x+2}dx
integral of (1+tan(x))/(sec(x))
\int\:\frac{1+\tan(x)}{\sec(x)}dx
integral of (z^5)/(\sqrt[3]{7+z^6)}
\int\:\frac{z^{5}}{\sqrt[3]{7+z^{6}}}dz
integral of p(p+1)^8
\int\:p(p+1)^{8}dp
integral of x^{7/4}
\int\:x^{\frac{7}{4}}dx
integral of 4sin(4t)
\int\:4\sin(4t)dt
integral of e^{t^2}t
\int\:e^{t^{2}}tdt
integral of ((x^2-2x+11))/((x^2+3x-4))
\int\:\frac{(x^{2}-2x+11)}{(x^{2}+3x-4)}dx
integral of (8x^4-5x^2+2)
\int\:(8x^{4}-5x^{2}+2)dx
integral of (x^{1/2})/x
\int\:\frac{x^{\frac{1}{2}}}{x}dx
integral of 2/(4+9x^2)
\int\:\frac{2}{4+9x^{2}}dx
integral of x/(\sqrt[3]{4-3x)}
\int\:\frac{x}{\sqrt[3]{4-3x}}dx
integral of (5e^{2x})/(7e^{2x)+4}
\int\:\frac{5e^{2x}}{7e^{2x}+4}dx
integral of n(x)
\int\:d\ln(x)dx
integral of 2x+1/y-y/(x^2)
\int\:2x+\frac{1}{y}-\frac{y}{x^{2}}dx
integral of (1/(x^2)+x)
\int\:(\frac{1}{x^{2}}+x)dx
integral of x/((x^2+1)^5)
\int\:\frac{x}{(x^{2}+1)^{5}}dx
integral of 2x+ycos(xy)
\int\:2x+y\cos(xy)dx
integral of 1/(sqrt(12-9x^2))
\int\:\frac{1}{\sqrt{12-9x^{2}}}dx
integral of 5x^4-4/(x^4)
\int\:5x^{4}-\frac{4}{x^{4}}dx
integral of (z^3)/(\sqrt[3]{3+z^4)}
\int\:\frac{z^{3}}{\sqrt[3]{3+z^{4}}}dz
integral of (10x^2)/(\sqrt[3]{3-x^3)}
\int\:\frac{10x^{2}}{\sqrt[3]{3-x^{3}}}dx
integral of ((1+x))/(1-x)
\int\:\frac{(1+x)}{1-x}dx
integral of x^5ln(2x^3)
\int\:x^{5}\ln(2x^{3})dx
integral of (x^3-2x^2+x-1)/(x^2-1)
\int\:\frac{x^{3}-2x^{2}+x-1}{x^{2}-1}dx
integral of cos(mx)cos(nx)
\int\:\cos(mx)\cos(nx)dx
integral of 1/((x+1)(x^2+2)^2)
\int\:\frac{1}{(x+1)(x^{2}+2)^{2}}dx
integral of x/((25-x^2)^{3/2)}
\int\:\frac{x}{(25-x^{2})^{\frac{3}{2}}}dx
integral of-1/x
integral\:-\frac{1}{x}
integral of (x+ln(x))/x
\int\:\frac{x+\ln(x)}{x}dx
integral of (csc(x)cos(x))/(sin(x))
\int\:\frac{\csc(x)\cos(x)}{\sin(x)}dx
integral of (5x^2)/(1+x^3)
\int\:\frac{5x^{2}}{1+x^{3}}dx
integral of 1/(sqrt(2x+1)+\sqrt{2x-1)}
\int\:\frac{1}{\sqrt{2x+1}+\sqrt{2x-1}}dx
integral of 2e^x+sin(7x)
\int\:2e^{x}+\sin(7x)dx
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