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Popular Calculus Problems

integral of 1/x 1/x	\int\:\frac{1}{x}d\frac{1}{x}dx
integral of-2xsin(-3x+1)	\int\:-2x\sin(-3x+1)dx
integral of 1/(4-3x^2)	\int\:\frac{1}{4-3x^{2}}dx
integral of 1/(2x^2+5x+2)	\int\:\frac{1}{2x^{2}+5x+2}dx
integral of sin(7x)sin(2x)	\int\:\sin(7x)\sin(2x)dx
integral of sin^2(1/3 θ)	\int\:\sin^{2}(\frac{1}{3}θ)dθ
integral of 1/(2x^2+5x+3)	\int\:\frac{1}{2x^{2}+5x+3}dx
integral of 1/(x^2sqrt(3^2-x^2))	\int\:\frac{1}{x^{2}\sqrt{3^{2}-x^{2}}}dx
integral of 84x^{-1/5}tan(x^{4/5})	\int\:84x^{-\frac{1}{5}}\tan(x^{\frac{4}{5}})dx
integral of (x-x^2)e^{3x}	\int\:(x-x^{2})e^{3x}dx
integral of (x^2+2x)/(xsqrt(x))	\int\:\frac{x^{2}+2x}{x\sqrt{x}}dx
integral of (e^{5x})/(9+e^{5x)}	\int\:\frac{e^{5x}}{9+e^{5x}}dx
integral of xln(x)+1	\int\:x\ln(x)+1dx
integral of x^4(x^5-1)^7	\int\:x^{4}(x^{5}-1)^{7}dx
integral of (12x^3)/(x^4+9)	\int\:\frac{12x^{3}}{x^{4}+9}dx
integral of 2/(x^2+2x+4)	\int\:\frac{2}{x^{2}+2x+4}dx
integral of 1/((x-4)(x+2))	\int\:\frac{1}{(x-4)(x+2)}dx
integral of 2/(sqrt(x^2-2))	\int\:\frac{2}{\sqrt{x^{2}-2}}dx
integral of 5/y+sin(y)	\int\:\frac{5}{y}+\sin(y)dy
integral of sqrt((argsinh(x))/(x^2+1))	\int\:\sqrt{\frac{arg\sinh(x)}{x^{2}+1}}
integral of (cos^7(y)sin^2(y))	\int\:(\cos^{7}(y)\sin^{2}(y))dy
integral of 1/(1-e^{-3x)}	\int\:\frac{1}{1-e^{-3x}}dx
integral of (sqrt(1+t))/(1+t)	\int\:\frac{\sqrt{1+t}}{1+t}dt
integral of-5(x^4)/(1-x^5)	\int\:-5\frac{x^{4}}{1-x^{5}}dx
integral of 1/(x^2-x+20)	\int\:\frac{1}{x^{2}-x+20}dx
integral of cos(kt)	\int\:\cos(kt)dt
integral of (9x^8+4)/(x^9+4x)	\int\:\frac{9x^{8}+4}{x^{9}+4x}dx
integral of 3/((sqrt(x^2+5))^3)	\int\:\frac{3}{(\sqrt{x^{2}+5})^{3}}dx
integral of 1/(9+e^{2x)}	\int\:\frac{1}{9+e^{2x}}dx
integral of (-2/(x^3))	\int\:(-\frac{2}{x^{3}})dx
integral of xe^{-x-1}	\int\:xe^{-x-1}dx
integral of (sin(θ))/(cos^4(θ))	\int\:\frac{\sin(θ)}{\cos^{4}(θ)}dθ
integral of e^{3ax}	\int\:e^{3ax}dx
integral of-5cot^3(x)csc^5(x)	\int\:-5\cot^{3}(x)\csc^{5}(x)dx
integral of x^2(2x^3-3)^4	\int\:x^{2}(2x^{3}-3)^{4}dx
integral of (5x)/((3x)^2+1)	\int\:\frac{5x}{(3x)^{2}+1}dx
integral of 6/(4+x^2)	\int\:\frac{6}{4+x^{2}}dx
integral of 1/((x-3)(x+2)(x-4))	\int\:\frac{1}{(x-3)(x+2)(x-4)}dx
integral of (e^x-x^2+2/(\sqrt[3]{x)})	\int\:(e^{x}-x^{2}+\frac{2}{\sqrt[3]{x}})dx
integral of x^2sin(n)x	\int\:x^{2}\sin(n)xdx
integral of (x+1)/(5x^2+10x+30)	\int\:\frac{x+1}{5x^{2}+10x+30}dx
integral of 3/x-1	\int\:\frac{3}{x}-1dx
integral of (sin(30x))/(1+cos^2(30x))	\int\:\frac{\sin(30x)}{1+\cos^{2}(30x)}dx
integral of 1/2 sec(x)	\int\:\frac{1}{2}\sec(x)dx
integral of (e^{2x}+e^{5x})/(e^{3x)}	\int\:\frac{e^{2x}+e^{5x}}{e^{3x}}dx
integral of 2x(x^2+10)^4	\int\:2x(x^{2}+10)^{4}dx
integral of x^3cos(x^4+3)	\int\:x^{3}\cos(x^{4}+3)dx
integral of (ln(sin(x)))/((sin(x))^2)	\int\:\frac{\ln(\sin(x))}{(\sin(x))^{2}}dx
integral of csc^2(x)sin(x)	\int\:\csc^{2}(x)\sin(x)dx
integral of (2x^3+3x)/(sqrt(x^4+3x^2-2))	\int\:\frac{2x^{3}+3x}{\sqrt{x^{4}+3x^{2}-2}}dx
integral of (sqrt(x-1))/(x+3)	\int\:\frac{\sqrt{x-1}}{x+3}dx
integral of 2/(x^3-x^2+x-1)	\int\:\frac{2}{x^{3}-x^{2}+x-1}dx
integral of (5x^2+4sqrt(x)+1/(x^3))	\int\:(5x^{2}+4\sqrt{x}+\frac{1}{x^{3}})dx
integral of (3x^2+1)/(x^2)	\int\:\frac{3x^{2}+1}{x^{2}}dx
integral of 1/(\sqrt[3]{5x-2)}	\int\:\frac{1}{\sqrt[3]{5x-2}}dx
integral of ycsc(3y^2)cot(3y^2)	\int\:y\csc(3y^{2})\cot(3y^{2})dy
integral of 6x^8-20x^4+x^2+9	\int\:6x^{8}-20x^{4}+x^{2}+9dx
integral of 1n^2x	\int\:1n^{2}xdx
integral of 1/(sqrt(x)(1+9x))	\int\:\frac{1}{\sqrt{x}(1+9x)}dx
integral of (5sqrt(x)+sqrt(11))	\int\:(5\sqrt{x}+\sqrt{11})dx
integral of (2x+3)/((x^2-x-12)(x+1))	\int\:\frac{2x+3}{(x^{2}-x-12)(x+1)}dx
integral of e^x*cos(2)e^x	\int\:e^{x}\cdot\:\cos(2)e^{x}dx
integral of (x^3+x^{-3})/(sqrt(x))	\int\:\frac{x^{3}+x^{-3}}{\sqrt{x}}dx
integral of (1/4 (1-cos^2(4x)))	\int\:(\frac{1}{4}(1-\cos^{2}(4x)))dx
integral of e^{2x}4cos(2x)	\int\:e^{2x}4\cos(2x)dx
integral of 6x^2e^{-x^3}	\int\:6x^{2}e^{-x^{3}}dx
integral of (2t)/(1+t)	\int\:\frac{2t}{1+t}dt
integral of cos(2x)ln(tan(x))	\int\:\cos(2x)\ln(\tan(x))dx
integral of ((t^4)/2-3/(t^{-2)}+3t)	\int\:(\frac{t^{4}}{2}-\frac{3}{t^{-2}}+3t)dt
integral of (+y)/y	\int\:\frac{+y}{y}dy
integral of 3/(x^2-4x+5)	\int\:\frac{3}{x^{2}-4x+5}dx
integral of x^2(2x-1)^{-7}	\int\:x^{2}(2x-1)^{-7}dx
integral of (2-x)cos((npix)/2)	\int\:(2-x)\cos(\frac{nπx}{2})dx
integral of e^x+5/x	\int\:e^{x}+\frac{5}{x}dx
integral of 18x+36x^2	\int\:18x+36x^{2}dx
integral of x/(5x^2+2)	\int\:\frac{x}{5x^{2}+2}dx
integral of (12x^3+8x^2-6)/(x^2)	\int\:\frac{12x^{3}+8x^{2}-6}{x^{2}}dx
integral of x(3x^2+1)^4	\int\:x(3x^{2}+1)^{4}dx
integral of (1/x+1/(xln(x)))	\int\:(\frac{1}{x}+\frac{1}{x\ln(x)})dx
integral of-(cos(4x))/4	\int\:-\frac{\cos(4x)}{4}dx
integral of 2/(3-5x)	\int\:\frac{2}{3-5x}dx
integral of (-3)/(3x^2+8x+4)	\int\:\frac{-3}{3x^{2}+8x+4}dx
integral of 3xln(8x)	\int\:3x\ln(8x)dx
integral of (x^6)/5	\int\:\frac{x^{6}}{5}dx
integral of sinh(13x)	\int\:\sinh(13x)dx
integral of (3x^4+x^2*e^x-x)/(x^2)	\int\:\frac{3x^{4}+x^{2}\cdot\:e^{x}-x}{x^{2}}dx
integral of sin(w)e^w	\int\:\sin(w)e^{w}dw
integral of xsqrt(4-x^2)-x^2	\int\:x\sqrt{4-x^{2}}-x^{2}dx
integral of 2/(16+x^2)	\int\:\frac{2}{16+x^{2}}dx
integral of 6xsin(2x)	\int\:6x\sin(2x)dx
integral of ((e^{2x}-2e^{-x}+1))/(e^x)	\int\:\frac{(e^{2x}-2e^{-x}+1)}{e^{x}}dx
integral of x^3cos(-3/4 x)	\int\:x^{3}\cos(-\frac{3}{4}x)dx
integral of (x^2)/((2x+3)(4x^2-1))	\int\:\frac{x^{2}}{(2x+3)(4x^{2}-1)}dx
integral of (3sqrt(x))/2	\int\:\frac{3\sqrt{x}}{2}dx
integral of x^2e^{6x^3}	\int\:x^{2}e^{6x^{3}}dx
integral of te^{-(t^2)/2}	\int\:te^{-\frac{t^{2}}{2}}dt
integral of 1/36 (t(12-t))	\int\:\frac{1}{36}(t(12-t))dt
integral of e^x-6sin(x)	\int\:e^{x}-6\sin(x)dx
integral of ye^{6y^2}	\int\:ye^{6y^{2}}dy
integral of x/((2x+3)^2)	\int\:\frac{x}{(2x+3)^{2}}dx

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