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Popular Calculus Problems

integral of x^36^{-x}	\int\:x^{3}6^{-x}dx
integral of x^5(-3+2x^2)^{3/2}	\int\:x^{5}(-3+2x^{2})^{\frac{3}{2}}dx
integral of-2xy^2	\int\:-2xy^{2}dx
integral of-xln(2x^2+1)	\int\:-x\ln(2x^{2}+1)dx
integral of x^5(x^3+1)^{1/2}	\int\:x^{5}(x^{3}+1)^{\frac{1}{2}}dx
integral of (2x+2)^2	\int\:(2x+2)^{2}dx
integral of x^2sqrt(u)	\int\:x^{2}\sqrt{u}
integral of 5/x+12x^5	\int\:\frac{5}{x}+12x^{5}dx
integral of (sin(x))/((2+cos(x))^6)	\int\:\frac{\sin(x)}{(2+\cos(x))^{6}}dx
integral of 1/(2sin(x)+sin(2x))	\int\:\frac{1}{2\sin(x)+\sin(2x)}dx
integral of (8x^3-8x+5)/(x^3-x^2)	\int\:\frac{8x^{3}-8x+5}{x^{3}-x^{2}}dx
integral of 4sqrt(x^3)+3\sqrt[3]{x^2}	\int\:4\sqrt{x^{3}}+3\sqrt[3]{x^{2}}dx
integral of ln(x)cos(3x)	\int\:\ln(x)\cos(3x)dx
integral of ((x+1))/(e^x)	\int\:\frac{(x+1)}{e^{x}}dx
integral of (1-x^2)/((1+x^2)^2)	\int\:\frac{1-x^{2}}{(1+x^{2})^{2}}dx
integral of (ln(\sqrt[4]{x}))/(x^2)	\int\:\frac{\ln(\sqrt[4]{x})}{x^{2}}dx
integral of 90x	\int\:90xdx
integral of xarccos(1/x)	\int\:x\arccos(\frac{1}{x})dx
integral of 1/(x(9-x^2))	\int\:\frac{1}{x(9-x^{2})}dx
integral of in^3x	\int\:in^{3}xdx
integral of (x+5)(x-7)	\int\:(x+5)(x-7)dx
integral of-30e^{12t}sin(t)	\int\:-30e^{12t}\sin(t)dt
integral of (4x^3)/(25+x^8)	\int\:\frac{4x^{3}}{25+x^{8}}dx
integral of (2x+1)/((1+x^2)(1-x+x^2))	\int\:\frac{2x+1}{(1+x^{2})(1-x+x^{2})}dx
integral of cos(pix)+3sin(x/3)	\int\:\cos(πx)+3\sin(\frac{x}{3})dx
integral of e^{4x^2}8x	\int\:e^{4x^{2}}8xdx
integral of (cos(x/2)+sin(x/2))^2	\int\:(\cos(\frac{x}{2})+\sin(\frac{x}{2}))^{2}dx
integral of 2/(200+t)	\int\:\frac{2}{200+t}dt
integral of (sqrt(x)+1/x)^2	\int\:(\sqrt{x}+\frac{1}{x})^{2}dx
integral of (6x-3)/(4x^2-4x+1)	\int\:\frac{6x-3}{4x^{2}-4x+1}dx
integral of sqrt(x)+1/(\sqrt[3]{x^2)}	\int\:\sqrt{x}+\frac{1}{\sqrt[3]{x^{2}}}dx
integral of e^{3x}(2sin(4x)-5cos(4x))	\int\:e^{3x}(2\sin(4x)-5\cos(4x))dx
integral of (x^5-5x+4)/(x^2)	\int\:\frac{x^{5}-5x+4}{x^{2}}dx
integral of 1/(x^2sqrt(x^2+7))	\int\:\frac{1}{x^{2}\sqrt{x^{2}+7}}dx
integral of (4x)/(\sqrt[5]{x^2+2)}	\int\:\frac{4x}{\sqrt[5]{x^{2}+2}}dx
integral of (1-8x)sin(2x)	\int\:(1-8x)\sin(2x)dx
integral of ((x+2))/((x^2+4x))	\int\:\frac{(x+2)}{(x^{2}+4x)}dx
integral of 1/(g-kx^2)	\int\:\frac{1}{g-kx^{2}}dx
integral of sqrt(cosh^2(x))	\int\:\sqrt{\cosh^{2}(x)}dx
integral of 1/((xsqrt(x^2+1)))	\int\:\frac{1}{(x\sqrt{x^{2}+1})}dx
integral of (-2x)/((2x+4)-sqrt(4x+8))	\int\:\frac{-2x}{(2x+4)-\sqrt{4x+8}}dx
integral of sinh(3x+2)	\int\:\sinh(3x+2)dx
integral of sec^2(x)+picos(x)	\int\:\sec^{2}(x)+π\cos(x)dx
integral of e^{pit}	\int\:e^{πt}dt
integral of 2e^xsin(e^x-1)	\int\:2e^{x}\sin(e^{x}-1)dx
integral of (x^2)/(sqrt(1-16x^2))	\int\:\frac{x^{2}}{\sqrt{1-16x^{2}}}dx
integral of 7θcsc^2(θ)	\int\:7θ\csc^{2}(θ)dθ
integral of 8x^2+7x^{-2}	\int\:8x^{2}+7x^{-2}dx
integral of x^2*cos(4x)	\int\:x^{2}\cdot\:\cos(4x)dx
integral of 1/(x-xln(x))	\int\:\frac{1}{x-x\ln(x)}dx
integral of 2-t^2	\int\:2-t^{2}dt
integral of x(4-x)^{1/2}	\int\:x(4-x)^{\frac{1}{2}}dx
integral of (4x^2-3x-2)/(2x^3+x^2+x-1)	\int\:\frac{4x^{2}-3x-2}{2x^{3}+x^{2}+x-1}dx
integral of-40sin(5y+1)	\int\:-40\sin(5y+1)dy
integral of cos(sqrt(x+2))	\int\:\cos(\sqrt{x+2})dx
integral of x/(sqrt((x^2+1)^3))	\int\:\frac{x}{\sqrt{(x^{2}+1)^{3}}}dx
integral of (3x^2-x+1)	\int\:(3x^{2}-x+1)dx
integral of (cos(t))/(8+sin(t))	\int\:\frac{\cos(t)}{8+\sin(t)}dt
integral of 4/(sqrt(-x^2-4x-1))	\int\:\frac{4}{\sqrt{-x^{2}-4x-1}}dx
integral of (10^x)	\int\:(10^{x})dx
integral of 4xsqrt(x^2+5)	\int\:4x\sqrt{x^{2}+5}dx
integral of (arccos(x/2))/(sqrt(4-x^2))	\int\:\frac{\arccos(\frac{x}{2})}{\sqrt{4-x^{2}}}dx
integral of 1/(3x+8)	\int\:\frac{1}{3x+8}dx
integral of (100)/(25+16x^2)	\int\:\frac{100}{25+16x^{2}}dx
integral of x(2+sqrt(x))^2	\int\:x(2+\sqrt{x})^{2}dx
integral of (sin(x))/(3x)	\int\:\frac{\sin(x)}{3x}dx
integral of 1/(sqrt(25+3x))	\int\:\frac{1}{\sqrt{25+3x}}dx
integral of t^2sin(3)(t^3)cos(2)(t^3)	\int\:t^{2}\sin(3)(t^{3})\cos(2)(t^{3})dt
integral of ((x^3))/(sqrt(1-x^4))	\int\:\frac{(x^{3})}{\sqrt{1-x^{4}}}dx
integral of ((sin(x))/(cos^3(x)))	\int\:(\frac{\sin(x)}{\cos^{3}(x)})dx
integral of (e^{x/a}+e^{-x/a})	\int\:(e^{\frac{x}{a}}+e^{-\frac{x}{a}})dx
integral of (2x^2-3x+5)	\int\:(2x^{2}-3x+5)dx
integral of (x-1)/((x^2+x+1)^2)	\int\:\frac{x-1}{(x^{2}+x+1)^{2}}dx
integral of (-1)/(3x)	\int\:\frac{-1}{3x}dx
integral of (e^{Inx})/x	\int\:\frac{e^{Inx}}{x}dx
integral of (x^3)/(\sqrt[3]{6+x^4)}	\int\:\frac{x^{3}}{\sqrt[3]{6+x^{4}}}dx
integral of sec(5t)(sec(5t)+tan(5t))	\int\:\sec(5t)(\sec(5t)+\tan(5t))dt
integral of arctan(x))	\int\:d(\arctan(x))dx
integral of x(3x^2+2)	\int\:x(3x^{2}+2)dx
integral of 1/2 e^xx^2	\int\:\frac{1}{2}e^{x}x^{2}dx
integral of 1/(cos^2(w)-cos(2w))	\int\:\frac{1}{\cos^{2}(w)-\cos(2w)}dw
integral of 1/(4+2x^2)	\int\:\frac{1}{4+2x^{2}}dx
integral of e^x(3+4e^x)^5	\int\:e^{x}(3+4e^{x})^{5}dx
integral of 2/(x^2)-(10)/(x^5)	\int\:\frac{2}{x^{2}}-\frac{10}{x^{5}}dx
integral of 2t^4	\int\:2t^{4}dt
integral of sin^3(b)x	\int\:\sin^{3}(b)xdx
integral of (x+sqrt(2)x)^2	\int\:(x+\sqrt{2}x)^{2}dx
integral of (-1)/(x^2-1)	\int\:\frac{-1}{x^{2}-1}dx
integral of 1/(3x^2-2x-1)	\int\:\frac{1}{3x^{2}-2x-1}dx
integral of (x+1/(sqrt(x)))^2	\int\:(x+\frac{1}{\sqrt{x}})^{2}dx
integral of (sin^2(x))/((1+cos(x))^2)	\int\:\frac{\sin^{2}(x)}{(1+\cos(x))^{2}}dx
integral of 6e^{t/(100)}	\int\:6e^{\frac{t}{100}}dt
integral of x*sqrt(x^9)	\int\:x\cdot\:\sqrt{x^{9}}dx
integral of ((x-1))/(x^2+2x+5)	\int\:\frac{(x-1)}{x^{2}+2x+5}dx
integral of (2x^4+6x^3-5x^2+2x-3)	\int\:(2x^{4}+6x^{3}-5x^{2}+2x-3)dx
integral of 2(x+1)^{1/2}	\int\:2(x+1)^{\frac{1}{2}}dx
integral of 2^x+e^pi	\int\:2^{x}+e^{π}dx
integral of 3+4x^3	\int\:3+4x^{3}dx
integral of (sqrt(x))/(2x+1)	\int\:\frac{\sqrt{x}}{2x+1}dx
integral of x\sqrt[3]{4x+27}	\int\:x\sqrt[3]{4x+27}dx

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