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Popular Calculus Problems

integral of cot^2(z)	\int\:\cot^{2}(z)dz
integral of ((2-x))/x	\int\:\frac{(2-x)}{x}dx
integral of 3/(x^2-x+1)	\int\:\frac{3}{x^{2}-x+1}dx
integral of ((-1)^x)/x	\int\:\frac{(-1)^{x}}{x}dx
integral of (e^{2x})/(e^{2x)-4}	\int\:\frac{e^{2x}}{e^{2x}-4}dx
integral of (cos(x))(sin(x))^2	\int\:(\cos(x))(\sin(x))^{2}dx
integral of (1+2ln(x))/x	\int\:\frac{1+2\ln(x)}{x}dx
integral of (3x)/((x^2-1)^2)	\int\:\frac{3x}{(x^{2}-1)^{2}}dx
integral of (sqrt(1-x^2))/(x^6)	\int\:\frac{\sqrt{1-x^{2}}}{x^{6}}dx
integral of (sin(θ))/(1+sin(θ))	\int\:\frac{\sin(θ)}{1+\sin(θ)}dθ
integral of (-2)/(x^2+1)	\int\:\frac{-2}{x^{2}+1}dx
integral of 2x+0	\int\:2x+0dx
integral of sin(ln(sqrt(x)))	\int\:\sin(\ln(\sqrt{x}))dx
integral of (xe^{xy})	\int\:(xe^{xy})dy
integral of 0.5+(0.2)/(sqrt(x))	\int\:0.5+\frac{0.2}{\sqrt{x}}dx
integral of (7x^8+2/3 x^4-x+4)	\int\:(7x^{8}+\frac{2}{3}x^{4}-x+4)dx
integral of (2x^2)/(sqrt(1+x^3))	\int\:\frac{2x^{2}}{\sqrt{1+x^{3}}}dx
integral of sinh(1/x)	\int\:\sinh(\frac{1}{x})dx
integral of xsqrt(x)	integral\:x\sqrt{x}
integral of tan^2(10x)	\int\:\tan^{2}(10x)dx
integral of 1/(x^2+2x+8)	\int\:\frac{1}{x^{2}+2x+8}dx
integral of sqrt(5+4x)	\int\:\sqrt{5+4x}dx
integral of xtan(5x^2)	\int\:x\tan(5x^{2})dx
integral of x(6+sqrt(x))^2	\int\:x(6+\sqrt{x})^{2}dx
integral of ((x-1))/((x^2-2x+4))	\int\:\frac{(x-1)}{(x^{2}-2x+4)}dx
integral of (sin(2sqrt(x)))/(sqrt(x))	\int\:\frac{\sin(2\sqrt{x})}{\sqrt{x}}dx
integral of (4+2/5 x^2+3/7 x^3)	\int\:(4+\frac{2}{5}x^{2}+\frac{3}{7}x^{3})dx
integral of 4x^25^{-x}	\int\:4x^{2}5^{-x}dx
integral of (x+5)e^x	\int\:(x+5)e^{x}dx
integral of (8x+1)sqrt(4x^2+x)	\int\:(8x+1)\sqrt{4x^{2}+x}dx
integral of (ln(x-y)+(x+y)/(x-y))	\int\:(\ln(x-y)+\frac{x+y}{x-y})dx
integral of 4x^3e^{6x^4}	\int\:4x^{3}e^{6x^{4}}dx
integral of 6xarctan(3x^2)	\int\:6x\arctan(3x^{2})dx
integral of xsin(1/9)x	\int\:x\sin(\frac{1}{9})xdx
integral of sqrt(1+81/16 x)	\int\:\sqrt{1+\frac{81}{16}x}dx
integral of 3e^{0.01x}	\int\:3e^{0.01x}dx
integral of 1/(13x-3)	\int\:\frac{1}{13x-3}dx
integral of (x^4-1)/(x^2+x)	\int\:\frac{x^{4}-1}{x^{2}+x}dx
integral of 2e^{-x}cos(x)	\int\:2e^{-x}\cos(x)dx
integral of e^{(-y^2)/2}	\int\:e^{\frac{-y^{2}}{2}}dy
integral of-2arctan(6x)	\int\:-2\arctan(6x)dx
integral of 1/(sqrt(24-x^2))	\int\:\frac{1}{\sqrt{24-x^{2}}}dx
integral of (x^2+4^x)	\int\:(x^{2}+4^{x})dx
integral of 1/(sqrt(y)+1)	\int\:\frac{1}{\sqrt{y}+1}dy
integral of 1/2 xsin(x+1)	\int\:\frac{1}{2}x\sin(x+1)dx
integral of ln(ln(x))+1/(ln(x))	\int\:\ln(\ln(x))+\frac{1}{\ln(x)}dx
integral of cos(8x)cos(15x)	\int\:\cos(8x)\cos(15x)dx
integral of sqrt((2x+3)^2+16)	\int\:\sqrt{(2x+3)^{2}+16}dx
integral of 4/(300-x)	\int\:\frac{4}{300-x}dx
integral of ye^y-y	\int\:ye^{y}-ydy
integral of 5/(sqrt(x^2-x+1))	\int\:\frac{5}{\sqrt{x^{2}-x+1}}dx
integral of ((sin(x))^3)/(cos(x)+2)	\int\:\frac{(\sin(x))^{3}}{\cos(x)+2}dx
integral of-6t^{1/2}+7	\int\:-6t^{\frac{1}{2}}+7dt
integral of (x^3+1)^43x^2	\int\:(x^{3}+1)^{4}3x^{2}dx
integral of (3+x)/(sqrt(9-x^2))	\int\:\frac{3+x}{\sqrt{9-x^{2}}}dx
integral of \sqrt[n]{e^x}	\int\:\sqrt[n]{e^{x}}dx
integral of (-2/x+3cos(6x))	\int\:(-\frac{2}{x}+3\cos(6x))dx
integral of sqrt(1+(x^3-1/(4x^3))^2)	\int\:\sqrt{1+(x^{3}-\frac{1}{4x^{3}})^{2}}dx
integral of (14)/(sqrt(x+1))	\int\:\frac{14}{\sqrt{x+1}}dx
integral of (xy^2+y-x)	\int\:(xy^{2}+y-x)dx
integral of (ln^9(x))/x	\int\:\frac{\ln^{9}(x)}{x}dx
integral of e^{x^2}x-e^{3x^4}12x^3	\int\:e^{x^{2}}x-e^{3x^{4}}12x^{3}dx
integral of (x-2)/(x(x+1)^2)	\int\:\frac{x-2}{x(x+1)^{2}}dx
integral of (8x^3)/(x^4+7)	\int\:\frac{8x^{3}}{x^{4}+7}dx
integral of (3x)/(sqrt(5x^2+1))	\int\:\frac{3x}{\sqrt{5x^{2}+1}}dx
integral of x^3ye^{xy}+3x^2e^{xy}	\int\:x^{3}ye^{xy}+3x^{2}e^{xy}dx
integral of (2x+5)/(x^2+1)	\int\:\frac{2x+5}{x^{2}+1}dx
integral of (e^x+1/(6x))	\int\:(e^{x}+\frac{1}{6x})dx
integral of 6t^2-6	\int\:6t^{2}-6dt
integral of 3xsqrt(x+4)	\int\:3x\sqrt{x+4}dx
integral of 1/(sqrt(x^2-2x+1))	\int\:\frac{1}{\sqrt{x^{2}-2x+1}}dx
integral of cos(x)e^{2sin(x)}	\int\:\cos(x)e^{2\sin(x)}dx
integral of (e^x)/(e^{2x)-4}	\int\:\frac{e^{x}}{e^{2x}-4}dx
integral of x^3(x^2+3)^{10}	\int\:x^{3}(x^{2}+3)^{10}dx
integral of e^{-(x+1)}	\int\:e^{-(x+1)}dx
integral of 9sqrt(x^3)+8\sqrt[3]{x^2}	\int\:9\sqrt{x^{3}}+8\sqrt[3]{x^{2}}dx
integral of 2x^3\sqrt[3]{x^4+1}	\int\:2x^{3}\sqrt[3]{x^{4}+1}dx
integral of 1/((x+1)^2)arctan(x)	\int\:\frac{1}{(x+1)^{2}}\arctan(x)dx
integral of 2sqrt(x^3)+9\sqrt[3]{x^2}	\int\:2\sqrt{x^{3}}+9\sqrt[3]{x^{2}}dx
integral of sec^2(2x-3)	\int\:\sec^{2}(2x-3)dx
integral of e^{-sx}cos(ax)	\int\:e^{-sx}\cos(ax)dx
integral of (x^2)/(3+4x-4x^2)	\int\:\frac{x^{2}}{3+4x-4x^{2}}dx
integral of (sec^2(x))/(9+tan^2(x))	\int\:\frac{\sec^{2}(x)}{9+\tan^{2}(x)}dx
integral of (x^2+2)^4	\int\:(x^{2}+2)^{4}dx
integral of (6^x-2^x)/(3^x)	\int\:\frac{6^{x}-2^{x}}{3^{x}}dx
integral of (2x-3)^4	\int\:(2x-3)^{4}dx
integral of (e^{5x})^2	\int\:(e^{5x})^{2}dx
integral of (45x^2)/(3x^2+x-2)	\int\:\frac{45x^{2}}{3x^{2}+x-2}dx
integral of (arctan(sqrt(x)))^2	\int\:(\arctan(\sqrt{x}))^{2}dx
integral of cos^3(x)sin^1(x)	\int\:\cos^{3}(x)\sin^{1}(x)dx
integral of (7x)/((7-x^2)^3)	\int\:\frac{7x}{(7-x^{2})^{3}}dx
integral of ((sqrt(x)+2)^4)/(2sqrt(x))	\int\:\frac{(\sqrt{x}+2)^{4}}{2\sqrt{x}}dx
integral of (2y)/2	\int\:\frac{d^{2}y}{2}dx
integral of 6e^{x^2}	\int\:6e^{x^{2}}dx
integral of (4x+1)^8	\int\:(4x+1)^{8}dx
integral of (6x)/(\sqrt[4]{x^3)}	\int\:\frac{6x}{\sqrt[4]{x^{3}}}dx
integral of 3x+pi	\int\:3x+πdx
integral of 8xsin(x^2)	\int\:8x\sin(x^{2})dx
integral of 1/(v^{1/2)}	\int\:\frac{1}{v^{\frac{1}{2}}}dv
integral of ((12x^2))/(2x+1)	\int\:\frac{(12x^{2})}{2x+1}dx

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