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Popular Calculus Problems

integral of x/(x^2+4x+6)	\int\:\frac{x}{x^{2}+4x+6}dx
integral of cos^3(x)cos(x)	\int\:\cos^{3}(x)\cos(x)dx
integral of 1/(5+4cos(θ))	\int\:\frac{1}{5+4\cos(θ)}dθ
integral of 3x^2(x^3+1)^5	\int\:3x^{2}(x^{3}+1)^{5}dx
integral of ((10y+11)/(4y^2-4y+5))	\int\:(\frac{10y+11}{4y^{2}-4y+5})dy
integral of 8x(x^2+1)^3	\int\:8x(x^{2}+1)^{3}dx
integral of (2x^3-1/(x^4))	\int\:(2x^{3}-\frac{1}{x^{4}})dx
integral of (e^{3x}+5e^{2x}-4e^x)/(e^x)	\int\:\frac{e^{3x}+5e^{2x}-4e^{x}}{e^{x}}dx
integral of 3x(2x+5)^2	\int\:3x(2x+5)^{2}dx
integral of ((7x+1))/(x^2-7x+6)	\int\:\frac{(7x+1)}{x^{2}-7x+6}dx
integral of (sec^2(x)tan^3(x))	\int\:(\sec^{2}(x)\tan^{3}(x))dx
integral of e^{-0.0025x}	\int\:e^{-0.0025x}dx
integral of sqrt(x^2-2x+3)	\int\:\sqrt{x^{2}-2x+3}dx
integral of ((2x-3))/(x^2+6x+13)	\int\:\frac{(2x-3)}{x^{2}+6x+13}dx
integral of (x+3)/((x^2+2x+5)^2)	\int\:\frac{x+3}{(x^{2}+2x+5)^{2}}dx
integral of (t^3)/(sqrt(t^2-9))	\int\:\frac{t^{3}}{\sqrt{t^{2}-9}}dt
integral of rctan(x)	\int\:d\arctan(x)dx
integral of (3+2\sqrt[4]{x})^3	\int\:(3+2\sqrt[4]{x})^{3}dx
integral of (3x^2+x+1/(x^3))	\int\:(3x^{2}+x+\frac{1}{x^{3}})dx
integral of e^xsqrt(33+e^x)	\int\:e^{x}\sqrt{33+e^{x}}dx
integral of (2x+9)/(x^2+9x+3)	\int\:\frac{2x+9}{x^{2}+9x+3}dx
integral of (16-x^2)/x	\int\:\frac{16-x^{2}}{x}dx
integral of (2x-3)/(x^2-2x+5)	\int\:\frac{2x-3}{x^{2}-2x+5}dx
integral of sqrt(16-x^2-y^2)	\int\:\sqrt{16-x^{2}-y^{2}}dx
integral of 2tan^2(2x)	\int\:2\tan^{2}(2x)dx
integral of (1+tan^2(a))	\int\:(1+\tan^{2}(a))da
integral of (sin(15x))/(1+cos^2(15x))	\int\:\frac{\sin(15x)}{1+\cos^{2}(15x)}dx
integral of 5+tan^2(x)	\int\:5+\tan^{2}(x)dx
integral of (cos(x)+1)	\int\:(\cos(x)+1)dx
integral of-3/2 x+3	\int\:-\frac{3}{2}x+3dx
integral of 1/(12x^4)	\int\:\frac{1}{12x^{4}}dx
integral of sin(x^3)3x^2	\int\:\sin(x^{3})3x^{2}dx
integral of (e^{sqrt(x)}-5)/(sqrt(x))	\int\:\frac{e^{\sqrt{x}}-5}{\sqrt{x}}dx
integral of (sin(5x))/x	\int\:\frac{\sin(5x)}{x}dx
integral of 1/(t(1+t^2))	\int\:\frac{1}{t(1+t^{2})}dt
integral of (8sqrt(x^3)+9\sqrt[3]{x^2})	\int\:(8\sqrt{x^{3}}+9\sqrt[3]{x^{2}})dx
integral of 1/((sin(2x))^2)	\int\:\frac{1}{(\sin(2x))^{2}}dx
integral of (3-10x)/(4x^2+9)	\int\:\frac{3-10x}{4x^{2}+9}dx
integral of 3/(x^2-9)	\int\:\frac{3}{x^{2}-9}dx
integral of (arcsin^2(x))	\int\:(\arcsin^{2}(x))dx
integral of (x+3)/(sqrt(x^2+6x))	\int\:\frac{x+3}{\sqrt{x^{2}+6x}}dx
integral of (2x-1)^{99}	\int\:(2x-1)^{99}dx
integral of 1/(sqrt(2h))	\int\:\frac{1}{\sqrt{2h}}dh
integral of (2cos(x))/((10+sin(x))^7)	\int\:\frac{2\cos(x)}{(10+\sin(x))^{7}}dx
integral of 4x^3sqrt(9-x^2)	\int\:4x^{3}\sqrt{9-x^{2}}dx
integral of (ln(x))/(x(3+2ln(x)))	\int\:\frac{\ln(x)}{x(3+2\ln(x))}dx
integral of ((a^2-x^2)^{3/2})/(x^6)	\int\:\frac{(a^{2}-x^{2})^{\frac{3}{2}}}{x^{6}}dx
integral of 6/(xln(5x))	\int\:\frac{6}{x\ln(5x)}dx
integral of (1+x)^{-1}	\int\:(1+x)^{-1}dx
integral of sin(5x)sin(6x)	\int\:\sin(5x)\sin(6x)dx
integral of (a-bx)^{-3}	\int\:(a-bx)^{-3}dx
integral of 3/(u^2-1)	\int\:\frac{3}{u^{2}-1}du
integral of x/(x+sqrt(x^2+1))	\int\:\frac{x}{x+\sqrt{x^{2}+1}}dx
integral of x\sqrt[3]{1-x^2}	\int\:x\sqrt[3]{1-x^{2}}dx
integral of (tan^3(x)+tan^5(x))	\int\:(\tan^{3}(x)+\tan^{5}(x))dx
integral of sec(x)sec(x)+tan(x)	\int\:\sec(x)\sec(x)+\tan(x)dx
integral of (2^{x+1}-5^{x+1})/(10^x)	\int\:\frac{2^{x+1}-5^{x+1}}{10^{x}}dx
integral of sqrt(θ^2+1)	\int\:\sqrt{θ^{2}+1}dθ
integral of 3x^2-2x+7e^x	\int\:3x^{2}-2x+7e^{x}dx
integral of (x+2)(x-5)^4	\int\:(x+2)(x-5)^{4}dx
integral of \sqrt[5]{x+1}	\int\:\sqrt[5]{x+1}dx
integral of 2/((x+1)(x-4))	\int\:\frac{2}{(x+1)(x-4)}dx
integral of 7x^2(-2x^3-5)^6	\int\:7x^{2}(-2x^{3}-5)^{6}dx
integral of (x^3)/(x^2+8x+16)	\int\:\frac{x^{3}}{x^{2}+8x+16}dx
integral of (x+7)/(x^2-x-6)	\int\:\frac{x+7}{x^{2}-x-6}dx
integral of 7cos^7(x)	\int\:7\cos^{7}(x)dx
integral of 1/((x^5))	\int\:\frac{1}{(x^{5})}dx
integral of 7+cos(x)	\int\:7+\cos(x)dx
integral of 7sin^4(x)cos(x)	\int\:7\sin^{4}(x)\cos(x)dx
integral of (3x-5)/(x^2+4x)	\int\:\frac{3x-5}{x^{2}+4x}dx
integral of sinh(x)+sinh^3(x)	\int\:\sinh(x)+\sinh^{3}(x)dx
integral of sqrt(1+((x^3)/4-1/(x^3))^2)	\int\:\sqrt{1+(\frac{x^{3}}{4}-\frac{1}{x^{3}})^{2}}dx
integral of (1-4x)	\int\:(1-4x)dx
integral of x3^{x+1}	\int\:x3^{x+1}dx
integral of (4x+7)/(x^2+2x-3)	\int\:\frac{4x+7}{x^{2}+2x-3}dx
integral of-3w^2e^{-w^3}	\int\:-3w^{2}e^{-w^{3}}dw
integral of 20x^4+12x^3+3x^2	\int\:20x^{4}+12x^{3}+3x^{2}dx
integral of 2x*arctan(x)	\int\:2x\cdot\:\arctan(x)dx
integral of (x^3+2)^{1/2}x^2	\int\:(x^{3}+2)^{\frac{1}{2}}x^{2}dx
integral of (3x-6)/(4x^2-7x+3)	\int\:\frac{3x-6}{4x^{2}-7x+3}dx
integral of 3+3tan^2(x)	\int\:3+3\tan^{2}(x)dx
integral of e^{-9u}sin(4u)	\int\:e^{-9u}\sin(4u)du
integral of x^2(x-2)^2	\int\:x^{2}(x-2)^{2}dx
integral of (y^2)/(y^2+y-6)	\int\:\frac{y^{2}}{y^{2}+y-6}dy
integral of (3x^2-x+1)/((x-1)(x+2)(x+1))	\int\:\frac{3x^{2}-x+1}{(x-1)(x+2)(x+1)}dx
integral of sin^5(5x)cos(5x)	\int\:\sin^{5}(5x)\cos(5x)dx
integral of x/(sqrt(3+2x-x^2))	\int\:\frac{x}{\sqrt{3+2x-x^{2}}}dx
integral of-sin^2(θ)	\int\:-\sin^{2}(θ)dθ
integral of (5x^2)/(sqrt(1-x^6))	\int\:\frac{5x^{2}}{\sqrt{1-x^{6}}}dx
integral of 4xsin(x)cos(x)	\int\:4x\sin(x)\cos(x)dx
integral of 14csc^2(7x)cot(7x)	\int\:14\csc^{2}(7x)\cot(7x)dx
integral of x(x^2-2)^5	\int\:x(x^{2}-2)^{5}dx
integral of (5y^2+6y)/(10y+3)	\int\:\frac{5y^{2}+6y}{10y+3}dy
integral of 8/(3x^3)	\int\:\frac{8}{3x^{3}}dx
integral of e^{4x}	integral\:e^{4x}
integral of tan(5x)sec^4(5x)	\int\:\tan(5x)\sec^{4}(5x)dx
integral of (5x^3-8x+5)/(x^3-x^2)	\int\:\frac{5x^{3}-8x+5}{x^{3}-x^{2}}dx
integral of e^{-3x+1}	\int\:e^{-3x+1}dx
integral of (cos^2(x)-sin(x))/(cos(x))	\int\:\frac{\cos^{2}(x)-\sin(x)}{\cos(x)}dx
integral of (16)/(x^2+4)	\int\:\frac{16}{x^{2}+4}dx

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