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Popular Calculus Problems

integral of sqrt(x^2+a)	\int\:\sqrt{x^{2}+a}dx
integral of ((8+sqrt(x)+x)/x)	\int\:(\frac{8+\sqrt{x}+x}{x})dx
integral of x^2*sqrt(x+1)	\int\:x^{2}\cdot\:\sqrt{x+1}dx
integral of (x^2)/2 ln(x)	\int\:\frac{x^{2}}{2}\ln(x)dx
integral of (cos(3x))/x	\int\:\frac{\cos(3x)}{x}dx
integral of 5y(2ln(y)+e^{(4y^2)})	\int\:5y\cdot\:(2\cdot\:\ln(y)+e^{(4y^{2})})dy
integral of (sec^2(x))/(4+tan^2(x))	\int\:\frac{\sec^{2}(x)}{4+\tan^{2}(x)}dx
integral of (21)/(25+4x^2)	\int\:\frac{21}{25+4x^{2}}dx
integral of 1/(x\sqrt[3]{ln(x))}	\int\:\frac{1}{x\sqrt[3]{\ln(x)}}dx
integral of 2e^{7-4ax}	\int\:2e^{7-4ax}dx
integral of (x+y+z)	\int\:(x+y+z)dx
integral of (1+x)/(sqrt(1-4x^2))	\int\:\frac{1+x}{\sqrt{1-4x^{2}}}dx
integral of 5/u	\int\:\frac{5}{u}du
integral of-4x^{-3}	\int\:-4x^{-3}dx
integral of-3ln(-2x)	\int\:-3\ln(-2x)dx
integral of 6^2	\int\:6^{2}dx
integral of cos(5x)	integral\:\cos(5x)
integral of 1/(sqrt(3x+2)-\sqrt{3x-2)}	\int\:\frac{1}{\sqrt{3x+2}-\sqrt{3x-2}}dx
integral of 2sec^4(1/2 x)	\int\:2\sec^{4}(\frac{1}{2}x)dx
integral of cos(x)+2cos^2(x)tan^2(x)	\int\:\cos(x)+2\cos^{2}(x)\tan^{2}(x)dx
integral of (2x-16sqrt(x))/(x^2-7x)	\int\:\frac{2x-16\sqrt{x}}{x^{2}-7x}dx
integral of x^4sqrt(3+x^5)	\int\:x^{4}\sqrt{3+x^{5}}dx
integral of sec(x)(7sec(x)+6tan(x))	\int\:\sec(x)(7\sec(x)+6\tan(x))dx
integral of 7xcos(x^2-3)	\int\:7x\cos(x^{2}-3)dx
integral of (1+4cot(x))/(4-cot(x))	\int\:\frac{1+4\cot(x)}{4-\cot(x)}dx
integral of x(2x+3)^7	\int\:x(2x+3)^{7}dx
integral of (cot(t)csc(t))/(csc^7(t))	\int\:\frac{\cot(t)\csc(t)}{\csc^{7}(t)}dt
integral of (2x-7)/(x^2-12x+32)	\int\:\frac{2x-7}{x^{2}-12x+32}dx
integral of ((4x^3))/(x^4+1)	\int\:\frac{(4x^{3})}{x^{4}+1}dx
integral of (xy^2+3x^2y)	\int\:(xy^{2}+3x^{2}y)dx
integral of (2x-7)/((x+1)(x-3))	\int\:\frac{2x-7}{(x+1)(x-3)}dx
integral of (2x+1)/((x+2)^2)	\int\:\frac{2x+1}{(x+2)^{2}}dx
integral of 4/(xsqrt(x))	\int\:\frac{4}{x\sqrt{x}}dx
integral of (1/(x^2+1))^2	\int\:(\frac{1}{x^{2}+1})^{2}dx
integral of x/(3x^2+7)	\int\:\frac{x}{3x^{2}+7}dx
integral of x/((x-1)^2(x+2))	\int\:\frac{x}{(x-1)^{2}(x+2)}dx
integral of e^{4x}4	\int\:e^{4x}4dx
integral of (x^2+4\sqrt[3]{x})/x	\int\:\frac{x^{2}+4\sqrt[3]{x}}{x}dx
integral of ln(t^2+1)	\int\:\ln(t^{2}+1)dt
integral of tan(4-9x)	\int\:\tan(4-9x)dx
integral of 5xsqrt(x^2+6)	\int\:5x\sqrt{x^{2}+6}dx
integral of 1/(1.5-0.8y)	\int\:\frac{1}{1.5-0.8y}dy
integral of (x^2+2x+1)/(x+1)	\int\:\frac{x^{2}+2x+1}{x+1}dx
integral of (2x-x^2)e^{-x}	\int\:(2x-x^{2})e^{-x}dx
integral of 1/(x^2-4x+10)	\int\:\frac{1}{x^{2}-4x+10}dx
integral of tan(z)	\int\:\tan(z)dz
integral of ln(2x^3)	\int\:\ln(2x^{3})dx
integral of (t^3-8t+1)/(8t^4)	\int\:\frac{t^{3}-8t+1}{8t^{4}}dt
integral of (x/2-1/x+3/(x^3)-4/(x^4))	\int\:(\frac{x}{2}-\frac{1}{x}+\frac{3}{x^{3}}-\frac{4}{x^{4}})dx
integral of cos^{18}(θ)sin(θ)	\int\:\cos^{18}(θ)\sin(θ)dθ
integral of 3r^2	\int\:3r^{2}dr
integral of 4xe^{x+2}	\int\:4xe^{x+2}dx
integral of (5x^2)e^{-x^3}	\int\:(5x^{2})e^{-x^{3}}dx
integral of (x-2)/(x^2-2x+5)	\int\:\frac{x-2}{x^{2}-2x+5}dx
integral of (sin(2x))/(21+cos^2(x))	\int\:\frac{\sin(2x)}{21+\cos^{2}(x)}dx
integral of (9x^3-9x+2)/(x^3-x^2)	\int\:\frac{9x^{3}-9x+2}{x^{3}-x^{2}}dx
integral of (x+5)/((x^2-6x+13)^2)	\int\:\frac{x+5}{(x^{2}-6x+13)^{2}}dx
integral of cos(x+4y)-2xz	\int\:\cos(x+4y)-2xzdx
integral of e^{8x-2}	\int\:e^{8x-2}dx
integral of 5x^2e^{3x}	\int\:5x^{2}e^{3x}dx
integral of (x-3)^{1/2}	\int\:(x-3)^{\frac{1}{2}}dx
integral of e^{x^2}-1	\int\:e^{x^{2}}-1dx
integral of x-2x^2	\int\:x-2x^{2}dx
integral of (-2/x)	\int\:(-\frac{2}{x})dx
integral of (9x^2+x)/((12x^3+2x^2)^2)	\int\:\frac{9x^{2}+x}{(12x^{3}+2x^{2})^{2}}dx
integral of (5e^{-1/x})/(x^2)	\int\:\frac{5e^{-\frac{1}{x}}}{x^{2}}dx
integral of (2x-1)*ln(x)	\int\:(2x-1)\cdot\:\ln(x)dx
integral of x\sqrt[4]{1-3x^2}	\int\:x\sqrt[4]{1-3x^{2}}dx
integral of x^3-4x^2+3x	\int\:x^{3}-4x^{2}+3xdx
integral of ((2x^2+x))/((4x^3+3x^2)^2)	\int\:\frac{(2x^{2}+x)}{(4x^{3}+3x^{2})^{2}}dx
integral of cos(t	\int\:\cos(d)t
integral of 1/((arctan(y/9))(81+y^2))	\int\:\frac{1}{(\arctan(\frac{y}{9}))(81+y^{2})}dy
integral of (x^2-4)^3	\int\:(x^{2}-4)^{3}dx
integral of ((sqrt(3x)+4))/(sqrt(3x)-2)	\int\:\frac{(\sqrt{3x}+4)}{\sqrt{3x}-2}dx
integral of x^3cos(y)	\int\:x^{3}\cos(y)dy
integral of e^{iwx}	\int\:e^{iwx}dx
integral of 1/((xsqrt(1-x^2)))	\int\:\frac{1}{(x\sqrt{1-x^{2}})}dx
integral of \sqrt[4]{x^2}	\int\:\sqrt[4]{x^{2}}dx
integral of sqrt(x^3+x^2)	\int\:\sqrt{x^{3}+x^{2}}dx
integral of (x^9)/(x^{10)-1}	\int\:\frac{x^{9}}{x^{10}-1}dx
integral of x^3-4	\int\:x^{3}-4dx
integral of ((sin(x))^2)/((cos(x))^3)	\int\:\frac{(\sin(x))^{2}}{(\cos(x))^{3}}dx
integral of (ln^2(x))/(sqrt(x))	\int\:\frac{\ln^{2}(x)}{\sqrt{x}}dx
integral of 2x(x^2+7)^3	\int\:2x(x^{2}+7)^{3}dx
integral of 5xe^{9x^2}	\int\:5xe^{9x^{2}}dx
integral of (x^4+x^3+6x+3)/(x^3-x^2)	\int\:\frac{x^{4}+x^{3}+6x+3}{x^{3}-x^{2}}dx
integral of (e^{-x})/(e^x+e^{-x)}	\int\:\frac{e^{-x}}{e^{x}+e^{-x}}dx
integral of ex^3	\int\:ex^{3}dx
integral of 4x^2-3x	\int\:4x^{2}-3xdx
integral of (u^3-ue^{6-3u^2})	\int\:(u^{3}-ue^{6-3u^{2}})du
integral of x^4(x^5-1)^3	\int\:x^{4}(x^{5}-1)^{3}dx
integral of 12+sin(x)	\int\:12+\sin(x)dx
integral of sqrt(a^2-x^2-y^2)	\int\:\sqrt{a^{2}-x^{2}-y^{2}}dy
integral of x/(7x+2)	\int\:\frac{x}{7x+2}dx
integral of 1/((x+25)sqrt(x))	\int\:\frac{1}{(x+25)\sqrt{x}}dx
integral of 1/6 sec(1/9 x)tan(1/9 x)	\int\:\frac{1}{6}\sec(\frac{1}{9}x)\tan(\frac{1}{9}x)dx
integral of (18)/(1+4x^2)	\int\:\frac{18}{1+4x^{2}}dx
integral of 3/(4sqrt(x^3))	\int\:\frac{3}{4\sqrt{x^{3}}}dx
integral of e^x+12x^2-4	\int\:e^{x}+12x^{2}-4dx
integral of 3x^2(x^3-5)^4	\int\:3x^{2}(x^{3}-5)^{4}dx

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