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Popular Calculus Problems

integral of x/(sqrt(4x^2-2))	\int\:\frac{x}{\sqrt{4x^{2}-2}}dx
integral of (sin(7x)+cos(7x))^2	\int\:(\sin(7x)+\cos(7x))^{2}dx
integral of (x^2+8x)/(x^3-x^2+x-1)	\int\:\frac{x^{2}+8x}{x^{3}-x^{2}+x-1}dx
integral of 1/(sqrt(5-12x-9x^2))	\int\:\frac{1}{\sqrt{5-12x-9x^{2}}}dx
integral of (x^2+5x+10)/(x^3-x^2+4x-4)	\int\:\frac{x^{2}+5x+10}{x^{3}-x^{2}+4x-4}dx
integral of cos^5(x)sin^7(x)	\int\:\cos^{5}(x)\sin^{7}(x)dx
integral of (x^3)/((x^2+1)^{5/2)}	\int\:\frac{x^{3}}{(x^{2}+1)^{\frac{5}{2}}}dx
integral of (18)/((4x^2+9)^2)	\int\:\frac{18}{(4x^{2}+9)^{2}}dx
integral of (3^{x+1}-6^{x-1})/(12^x)	\int\:\frac{3^{x+1}-6^{x-1}}{12^{x}}dx
integral of (3x+13)/((x+1)(x^2+4))	\int\:\frac{3x+13}{(x+1)(x^{2}+4)}dx
integral of (3x^2-2x-1)	\int\:(3x^{2}-2x-1)dx
integral of ((1-x)e^x)/(x^2)	\int\:\frac{(1-x)e^{x}}{x^{2}}dx
integral of 1/((4x^2-1)(x+7))	\int\:\frac{1}{(4x^{2}-1)(x+7)}dx
integral of (1+sin(2x))/(cos(2x))	\int\:\frac{1+\sin(2x)}{\cos(2x)}dx
integral of ((6x^2+2sqrt(x))/(2sqrt(x)))	\int\:(\frac{6x^{2}+2\sqrt{x}}{2\sqrt{x}})dx
integral of cot^5(2/5)x*csc^9(2/5)x	\int\:\cot^{5}(\frac{2}{5})x\cdot\:\csc^{9}(\frac{2}{5})xdx
integral of x(3x^2-2)^6	\int\:x(3x^{2}-2)^{6}dx
integral of 3^{2x+4}+ln(3-x)-e^{2-3x}	\int\:3^{2x+4}+\ln(3-x)-e^{2-3x}dx
integral of (x^2-1)/(x^3)	\int\:\frac{x^{2}-1}{x^{3}}dx
integral of sin(2x)e^{-3x}	\int\:\sin(2x)e^{-3x}dx
integral of cos^3(1/3 t)	\int\:\cos^{3}(\frac{1}{3}t)dt
integral of xsqrt(8-4x)	\int\:x\sqrt{8-4x}dx
integral of 3x(5x+2)^3	\int\:3x(5x+2)^{3}dx
integral of (ln(3x))/(\sqrt[3]{x)}	\int\:\frac{\ln(3x)}{\sqrt[3]{x}}dx
integral of (x^2)/(3x+18)	\int\:\frac{x^{2}}{3x+18}dx
integral of sqrt(x)sqrt(36-x)	\int\:\sqrt{x}\sqrt{36-x}dx
integral of (2x^{-2}+4)	\int\:(2x^{-2}+4)dx
integral of θarctan(θ)	\int\:θ\arctan(θ)dθ
integral of 2.4e^{0.08t}	\int\:2.4e^{0.08t}dt
integral of 1/(x+sqrt(x+2))	\int\:\frac{1}{x+\sqrt{x+2}}dx
integral of (6x^2+8)/(2x^3+8x)	\int\:\frac{6x^{2}+8}{2x^{3}+8x}dx
integral of-2xe^{3x}	\int\:-2xe^{3x}dx
integral of \sqrt[3]{5z-1}	\int\:\sqrt[3]{5z-1}dz
integral of 1/(x^2-2x-4)	\int\:\frac{1}{x^{2}-2x-4}dx
integral of 1/(xsqrt(25x^2-5))	\int\:\frac{1}{x\sqrt{25x^{2}-5}}dx
integral of (3x^{1/2}-x^{-2}+2)	\int\:(3x^{\frac{1}{2}}-x^{-2}+2)dx
integral of (5x^3+7x-2)	\int\:(5x^{3}+7x-2)dx
integral of x(x^2+100)^{100}	\int\:x(x^{2}+100)^{100}dx
integral of 6/(sqrt(144-9x^2))	\int\:\frac{6}{\sqrt{144-9x^{2}}}dx
integral of (e^x)/(2e^x+3)	\int\:\frac{e^{x}}{2e^{x}+3}dx
integral of (x^4)/(x^3-2x^2-7x-4)	\int\:\frac{x^{4}}{x^{3}-2x^{2}-7x-4}dx
integral of (sin(x))/(2-sin(x))	\int\:\frac{\sin(x)}{2-\sin(x)}dx
integral of (4x)^{-2}	\int\:(4x)^{-2}dx
integral of (e^x)/((x+1)^2)	\int\:\frac{e^{x}}{(x+1)^{2}}dx
integral of (5(e^{2x}-x))/(x^2-e^{2x)}	\int\:\frac{5(e^{2x}-x)}{x^{2}-e^{2x}}dx
integral of-6/((x^2+6)^{3/2)}	\int\:-\frac{6}{(x^{2}+6)^{\frac{3}{2}}}dx
integral of (sin(7x))/(sqrt(cos(7x)-2))	\int\:\frac{\sin(7x)}{\sqrt{\cos(7x)-2}}dx
integral of 0.15-0.09e^{0.006x}	\int\:0.15-0.09e^{0.006x}dx
integral of (3x+2)/(x^2+6x+8)	\int\:\frac{3x+2}{x^{2}+6x+8}dx
integral of e^{4x}+e^{-2x}	\int\:e^{4x}+e^{-2x}dx
integral of (32)/(y^3)	\int\:\frac{32}{y^{3}}dy
integral of 1/(sqrt(5-16t^2))	\int\:\frac{1}{\sqrt{5-16t^{2}}}dt
integral of e^x+1/(x^2)	\int\:e^{x}+\frac{1}{x^{2}}dx
integral of 1/(sqrt((5-4x-x^2)^3))	\int\:\frac{1}{\sqrt{(5-4x-x^{2})^{3}}}dx
integral of x/(x^2+x-12)	\int\:\frac{x}{x^{2}+x-12}dx
integral of e^{1-x}cos(2x)	\int\:e^{1-x}\cos(2x)dx
integral of x^3ln(e^x)	\int\:x^{3}\ln(e^{x})dx
integral of (3y^4+12y^2-1)/(y^3+4y)	\int\:\frac{3y^{4}+12y^{2}-1}{y^{3}+4y}dy
integral of+xe-x^2	\int\:+xe-x^{2}dx
integral of (3x^2+5x+4)/(x^3+x^2+x-3)	\int\:\frac{3x^{2}+5x+4}{x^{3}+x^{2}+x-3}dx
integral of (9x)/(sqrt(2+15x))	\int\:\frac{9x}{\sqrt{2+15x}}dx
integral of sin(1-2x)sin(2x+3)	\int\:\sin(1-2x)\sin(2x+3)dx
integral of (3x^3-x)(2-x)	\int\:(3x^{3}-x)(2-x)dx
integral of ((y+4))/(y^2+16)	\int\:\frac{(y+4)}{y^{2}+16}dy
integral of (x+1)/(sqrt(4+x^2))	\int\:\frac{x+1}{\sqrt{4+x^{2}}}dx
integral of 1/(ln(x+2))	\int\:\frac{1}{\ln(x+2)}dx
integral of x^7sqrt(1+x^4)	\int\:x^{7}\sqrt{1+x^{4}}dx
integral of e^{4x}tan(2e^{4x}+3)	\int\:e^{4x}\tan(2e^{4x}+3)dx
integral of [\sqrt[3]{x^2}+sin(3x)]	\int\:[\sqrt[3]{x^{2}}+\sin(3x)]dx
integral of x(x+3)(x+1)	\int\:x(x+3)(x+1)dx
integral of-1/(2e^{2x)}	\int\:-\frac{1}{2e^{2x}}dx
integral of (2-x)^4	\int\:(2-x)^{4}dx
integral of x^{3/2}+x^{7/4}+x^{2/3}	\int\:x^{\frac{3}{2}}+x^{\frac{7}{4}}+x^{\frac{2}{3}}dx
integral of 5x(x^2+6)	\int\:5x(x^{2}+6)dx
integral of e^{7-2x}	\int\:e^{7-2x}dx
integral of+sex^2x	\int\:+sex^{2}xdx
integral of 1/(cos^2(bx))	\int\:\frac{1}{\cos^{2}(bx)}dx
integral of x^2(x^2+3x)	\int\:x^{2}(x^{2}+3x)dx
integral of (sqrt(x^2+5))/(x^2)	\int\:\frac{\sqrt{x^{2}+5}}{x^{2}}dx
integral of-4sin(x/2)	\int\:-4\sin(\frac{x}{2})dx
integral of (9(x-1))/(x^2(x^2-9))	\int\:\frac{9(x-1)}{x^{2}(x^{2}-9)}dx
integral of tan^{1/2}(x)	\int\:\tan^{\frac{1}{2}}(x)dx
integral of 1/((x^2sqrt((9-x^2))))	\int\:\frac{1}{(x^{2}\sqrt{(9-x^{2})})}dx
integral of 1/x+zcos(xz)	\int\:\frac{1}{x}+z\cos(xz)dx
integral of ((tan(x))/(cot(x))+1)	\int\:(\frac{\tan(x)}{\cot(x)}+1)dx
integral of (4xsin(x)-5csc(x))/(sin(x))	\int\:\frac{4x\sin(x)-5\csc(x)}{\sin(x)}dx
integral of 6x^3e^{x^2+3}	\int\:6x^{3}e^{x^{2}+3}dx
integral of (sqrt(x^2+49))/(3x^2)	\int\:\frac{\sqrt{x^{2}+49}}{3x^{2}}dx
integral of 5xarcsin(x)	\int\:5x\arcsin(x)dx
integral of 10^{2θ}	\int\:10^{2θ}dθ
integral of sin^8(2/5)xcos^6(2/5)x	\int\:\sin^{8}(\frac{2}{5})x\cos^{6}(\frac{2}{5})xdx
integral of (sin(x)+10csc^2(x))	\int\:(\sin(x)+10\csc^{2}(x))dx
integral of (2x^2-6x+1)/(x^2)	\int\:\frac{2x^{2}-6x+1}{x^{2}}dx
integral of (x^2+9)e^x	\int\:(x^{2}+9)e^{x}dx
integral of (θsin^2(θ))/2	\int\:\frac{θ\sin^{2}(θ)}{2}dθ
integral of (ln(x))'	\int\:(\ln(x))\prime\:dx
integral of 2cos(4x)+sin(1/2)x	\int\:2\cos(4x)+\sin(\frac{1}{2})xdx
integral of arccos(cos(x))	\int\:\arccos(\cos(x))dx
integral of ((x+2))/((2-x)^{1/3)}	\int\:\frac{(x+2)}{(2-x)^{\frac{1}{3}}}dx
integral of (21x^2)/((x+1)(x^2+1))	\int\:\frac{21x^{2}}{(x+1)(x^{2}+1)}dx

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