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Popular Calculus Problems

integral of 2(3x+1)^{1/2}	\int\:2(3x+1)^{\frac{1}{2}}dx
integral of 2/4 x^{-8}	\int\:\frac{2}{4}x^{-8}dx
integral of x/(1+x^{1/3)}	\int\:\frac{x}{1+x^{\frac{1}{3}}}dx
integral of 1/((1+u^2)^{3/2)}	\int\:\frac{1}{(1+u^{2})^{\frac{3}{2}}}du
integral of (ln((3a)/x))^2	\int\:(\ln(\frac{3a}{x}))^{2}dx
integral of 2(4^{4x})	\int\:2(4^{4x})dx
integral of (2x-1)/(x^2-x+8)	\int\:\frac{2x-1}{x^{2}-x+8}dx
integral of (x^2)/(3+(x^3-4)^2)	\int\:\frac{x^{2}}{3+(x^{3}-4)^{2}}dx
integral of ((2+e^x))/(e^x)	\int\:\frac{(2+e^{x})}{e^{x}}dx
integral of ((x^2+2x))/((x+2)^2(x^2+2))	\int\:\frac{(x^{2}+2x)}{(x+2)^{2}(x^{2}+2)}dx
integral of 3/(ysqrt(y^4-9))	\int\:\frac{3}{y\sqrt{y^{4}-9}}dy
integral of 3^xcosh(3^x)	\int\:3^{x}\cosh(3^{x})dx
integral of e^{cos(y)}	\int\:e^{\cos(y)}dy
integral of 1/(6w-2-9w^2)	\int\:\frac{1}{6w-2-9w^{2}}dw
integral of (3-7t)/((t^2+12t+40)^2)	\int\:\frac{3-7t}{(t^{2}+12t+40)^{2}}dt
integral of 6/(xsqrt(x^2-1))	\int\:\frac{6}{x\sqrt{x^{2}-1}}dx
integral of tan^2(x)+cot^2(x)+4	\int\:\tan^{2}(x)+\cot^{2}(x)+4dx
integral of 4x^3*ln(x)	\int\:4x^{3}\cdot\:\ln(x)dx
integral of (x^2)/(sqrt(x^2-3))	\int\:\frac{x^{2}}{\sqrt{x^{2}-3}}dx
integral of (2sqrt(x^2-1))/x	\int\:\frac{2\sqrt{x^{2}-1}}{x}dx
integral of+sec(2t)tan(2t)	\int\:+\sec(2t)\tan(2t)dt
integral of (x^4-2x^3+6x^2+9)	\int\:(x^{4}-2x^{3}+6x^{2}+9)dx
integral of (1+3z)(2sqrt(z)-5)	\int\:(1+3z)(2\sqrt{z}-5)dz
integral of (11x^2)/((81+x^2)^2)	\int\:\frac{11x^{2}}{(81+x^{2})^{2}}dx
integral of 3/(xsqrt(x+1))	\int\:\frac{3}{x\sqrt{x+1}}dx
integral of (2x^2+1)/((x+3)(x+2))	\int\:\frac{2x^{2}+1}{(x+3)(x+2)}dx
integral of (2x+1)(x^2+x)^4	\int\:(2x+1)(x^{2}+x)^{4}dx
integral of (20-x)/4	\int\:\frac{20-x}{4}dx
integral of (sec^2(y))/(1+tan(y))	\int\:\frac{\sec^{2}(y)}{1+\tan(y)}dy
integral of (cos^7(x))/(sqrt(sin(x)))	\int\:\frac{\cos^{7}(x)}{\sqrt{\sin(x)}}dx
integral of ((x-3))/((x^2+4))	\int\:\frac{(x-3)}{(x^{2}+4)}dx
integral of 1+2x-4x^3	\int\:1+2x-4x^{3}dx
integral of ((4-x)/(sqrt(16-x^2)))	\int\:(\frac{4-x}{\sqrt{16-x^{2}}})dx
integral of sin^2(4x)cos^3(4x)	\int\:\sin^{2}(4x)\cos^{3}(4x)dx
integral of 200e^{0.1t}+150e^{-0.3t}	\int\:200e^{0.1t}+150e^{-0.3t}dt
integral of 1/(1+sin(θ)+cos(θ))	\int\:\frac{1}{1+\sin(θ)+\cos(θ)}dθ
integral of ln((cos(θ))^{tan(θ)})	\int\:\ln((\cos(θ))^{\tan(θ)})dθ
integral of 1/((x^2-2x+2)(x^2+4))	\int\:\frac{1}{(x^{2}-2x+2)(x^{2}+4)}dx
integral of (sin(x))/(sqrt(4sin^2(x)-3))	\int\:\frac{\sin(x)}{\sqrt{4\sin^{2}(x)-3}}dx
integral of sin(2x)+5tan^2(x)csc^2(x)	\int\:\sin(2x)+5\tan^{2}(x)\csc^{2}(x)dx
integral of sec^2(x)tan(2tan(x))	\int\:\sec^{2}(x)\tan(2\tan(x))dx
integral of 2x(arcsin(x))^2	\int\:2x(\arcsin(x))^{2}dx
integral of (5tan^2(x)sec^2(x)+13)	\int\:(5\tan^{2}(x)\sec^{2}(x)+13)dx
integral of (2+x/(2x^2+1)) 1/(2x^2+1)	\int\:(2+\frac{x}{2x^{2}+1})\frac{1}{2x^{2}+1}dx
integral of-6/(7tsqrt(49t^2-25))	\int\:-\frac{6}{7t\sqrt{49t^{2}-25}}dt
integral of (ln(2x+1))/(sqrt(2x+1))	\int\:\frac{\ln(2x+1)}{\sqrt{2x+1}}dx
integral of (3x-1)/(x(x^2-4))	\int\:\frac{3x-1}{x(x^{2}-4)}dx
integral of tan^2(a)x	\int\:\tan^{2}(a)xdx
integral of x/(8+3x^4)	\int\:\frac{x}{8+3x^{4}}dx
integral of 1/(w^{5/8)-w^{1/8}}	\int\:\frac{1}{w^{\frac{5}{8}}-w^{\frac{1}{8}}}dw
integral of (1-5y)^3	\int\:(1-5y)^{3}dy
integral of ln(sqrt(x^2-9))	\int\:\ln(\sqrt{x^{2}-9})dx
integral of (3^{3x}-3^x-3)/(sqrt(3^x))	\int\:\frac{3^{3x}-3^{x}-3}{\sqrt{3^{x}}}dx
integral of 1/2 xe^{4x}	\int\:\frac{1}{2}xe^{4x}dx
integral of 1/(sqrt(x)(2-x))	\int\:\frac{1}{\sqrt{x}(2-x)}dx
integral of 2tan^3(x)sec^3(x)	\int\:2\tan^{3}(x)\sec^{3}(x)dx
integral of (x^2-4x-12)/(x+2)	\int\:\frac{x^{2}-4x-12}{x+2}dx
integral of csc(pix-1)	\int\:\csc(πx-1)dx
integral of (e^x)/(sqrt(4e^x+e^{2x))}	\int\:\frac{e^{x}}{\sqrt{4e^{x}+e^{2x}}}dx
integral of (2(x^2-1)^{1/2})/x	\int\:\frac{2(x^{2}-1)^{\frac{1}{2}}}{x}dx
integral of (3x^4-4)/(2x^3)	\int\:\frac{3x^{4}-4}{2x^{3}}dx
integral of vsin^2(3v)	\int\:v\sin^{2}(3v)dv
integral of 1/2 xcsc^2(x)	\int\:\frac{1}{2}x\csc^{2}(x)dx
integral of sqrt(x)sqrt(25-x)	\int\:\sqrt{x}\sqrt{25-x}dx
integral of ((sqrt(x)+1)^2)/(sqrt(x))	\int\:\frac{(\sqrt{x}+1)^{2}}{\sqrt{x}}dx
integral of 1/((x+2)(x-1)^2)	\int\:\frac{1}{(x+2)(x-1)^{2}}dx
integral of-12sec^2(-4x)tan^3(-4x)	\int\:-12\sec^{2}(-4x)\tan^{3}(-4x)dx
integral of x(x+4)^{-2}	\int\:x(x+4)^{-2}dx
integral of 1/(sqrt(2y))	\int\:\frac{1}{\sqrt{2y}}dy
integral of 1/(sqrt(20x))	\int\:\frac{1}{\sqrt{20x}}dx
integral of (x^3)/(2+x^4)	\int\:\frac{x^{3}}{2+x^{4}}dx
integral of (csc(x))/(acsc(x)-asin(x))	\int\:\frac{\csc(x)}{a\csc(x)-a\sin(x)}dx
integral of ye^{3y^2-1}	\int\:ye^{3y^{2}-1}dy
integral of 1/(sqrt(4e^{-2x)-25)}	\int\:\frac{1}{\sqrt{4e^{-2x}-25}}dx
integral of 2/3 xe^{-3/5 x}	\int\:\frac{2}{3}xe^{-\frac{3}{5}x}dx
integral of 12.3	\int\:12.3dx
integral of (3x+1)cos(3x+2)	\int\:(3x+1)\cos(3x+2)dx
integral of 5x^3e^{5x}	\int\:5x^{3}e^{5x}dx
integral of xcosh(x^2)sinh(x^2)	\int\:x\cosh(x^{2})\sinh(x^{2})dx
integral of (x+5)/(2x^3-18x)	\int\:\frac{x+5}{2x^{3}-18x}dx
integral of-2/(sin(x))	\int\:-\frac{2}{\sin(x)}dx
integral of 6csc^2(3x)	\int\:6\csc^{2}(3x)dx
integral of (324)/(x^3-18x^2)	\int\:\frac{324}{x^{3}-18x^{2}}dx
integral of (cos^2(2θ))/(sin^4(2θ))	\int\:\frac{\cos^{2}(2θ)}{\sin^{4}(2θ)}dθ
integral of coth^2(3x)	\int\:\coth^{2}(3x)dx
integral of (e^{2x})/(sqrt(1+5e^{2x))}	\int\:\frac{e^{2x}}{\sqrt{1+5e^{2x}}}dx
integral of 1/(x^4sqrt(x^2-9))	\int\:\frac{1}{x^{4}\sqrt{x^{2}-9}}dx
integral of cos^2(3x)sin^4(3x)	\int\:\cos^{2}(3x)\sin^{4}(3x)dx
integral of 3/(x(ln(x))^{1/2)}	\int\:\frac{3}{x(\ln(x))^{\frac{1}{2}}}dx
integral of (4x)/(4-x^2)	\int\:\frac{4x}{4-x^{2}}dx
integral of 2sqrt(2-3x)	\int\:2\sqrt{2-3x}dx
integral of ((cos(θ)+tan(θ)))/(cos^2(θ))	\int\:\frac{(\cos(θ)+\tan(θ))}{\cos^{2}(θ)}dθ
integral of (x-45)/(x^2(x+5))	\int\:\frac{x-45}{x^{2}(x+5)}dx
integral of (rivative of 4x)/((x^2-9))	\int\:\frac{\frac{d}{dx}(4x)}{(x^{2}-9)}dx
integral of (x^2ln^3(2+x^3))/(2+x^3)	\int\:\frac{x^{2}\ln^{3}(2+x^{3})}{2+x^{3}}dx
integral of (6x+10)	\int\:(6x+10)dx
integral of cot^4(7x)	\int\:\cot^{4}(7x)dx
integral of (x+6)^2sin(x)	\int\:(x+6)^{2}\sin(x)dx
integral of (x^2-3x-5)/(x-2)	\int\:\frac{x^{2}-3x-5}{x-2}dx
integral of-sec^2(x)+e^{2x+1}	\int\:-\sec^{2}(x)+e^{2x+1}dx

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