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Popular Calculus Problems

integral of (4x+2)/(sqrt(4x-1))	\int\:\frac{4x+2}{\sqrt{4x-1}}dx
integral of csc^4(b)x	\int\:\csc^{4}(b)xdx
integral of (5x+8)/(x^2-x-2)	\int\:\frac{5x+8}{x^{2}-x-2}dx
integral of (7/5)	\int\:(\frac{7}{5})dx
integral of 1/((t-5)sqrt(t^2-10t+16))	\int\:\frac{1}{(t-5)\sqrt{t^{2}-10t+16}}dt
integral of cot^3(x)csc^6(x)	\int\:\cot^{3}(x)\csc^{6}(x)dx
integral of 6ln(2x)	\int\:6\ln(2x)dx
integral of 3xe^{6x}	\int\:3xe^{6x}dx
integral of (sec^2(x))/(sec^2(x)+8)	\int\:\frac{\sec^{2}(x)}{\sec^{2}(x)+8}dx
integral of sqrt(16x^4-24x^2+7)x	\int\:\sqrt{16x^{4}-24x^{2}+7}xdx
integral of ((x+2))/((x-2)^2)	\int\:\frac{(x+2)}{(x-2)^{2}}dx
integral of (11w+4)/((3+6w-w^2)^2)	\int\:\frac{11w+4}{(3+6w-w^{2})^{2}}dw
integral of 1/((2-3x)^4)	\int\:\frac{1}{(2-3x)^{4}}dx
integral of (x^2-1)/(x^2-16)	\int\:\frac{x^{2}-1}{x^{2}-16}dx
integral of cos^6(4x)	\int\:\cos^{6}(4x)dx
integral of (6x^2+23x-9)/(x^3+2x^2-3x)	\int\:\frac{6x^{2}+23x-9}{x^{3}+2x^{2}-3x}dx
integral of e^{10x}sqrt(1-e^{20x)}	\int\:e^{10x}\sqrt{1-e^{20x}}dx
integral of (sqrt(12+x^2))/x	\int\:\frac{\sqrt{12+x^{2}}}{x}dx
integral of 8/(3x+2)	\int\:\frac{8}{3x+2}dx
integral of (-2x^{1/2})	\int\:(-2x^{\frac{1}{2}})dx
integral of (24)/(4x^2+1)	\int\:\frac{24}{4x^{2}+1}dx
integral of (sin(2y))/(1-3cos(2y))	\int\:\frac{\sin(2y)}{1-3\cos(2y)}dy
integral of (x^2)/(sqrt(x^2-5))	\int\:\frac{x^{2}}{\sqrt{x^{2}-5}}dx
integral of 3x^2(x^3+7)^7	\int\:3x^{2}(x^{3}+7)^{7}dx
integral of 5^x-e^x+6	\int\:5^{x}-e^{x}+6dx
integral of ((x+1)/(x^3))	\int\:(\frac{x+1}{x^{3}})dx
integral of 10cos(5x)sin^5(5x)	\int\:10\cos(5x)\sin^{5}(5x)dx
integral of (-4)/x-4/(x^2)	\int\:\frac{-4}{x}-\frac{4}{x^{2}}dx
integral of 1/(xsqrt(11x-1))	\int\:\frac{1}{x\sqrt{11x-1}}dx
integral of 1/(sqrt(x^2+12x+48))	\int\:\frac{1}{\sqrt{x^{2}+12x+48}}dx
integral of sqrt(x)(1+1/(\sqrt[3]{x)})	\int\:\sqrt{x}(1+\frac{1}{\sqrt[3]{x}})dx
integral of (20x^4-3x^2+15x)/(5x^2)	\int\:\frac{20x^{4}-3x^{2}+15x}{5x^{2}}dx
integral of (3sin(x)+4)^5cos(x)	\int\:(3\sin(x)+4)^{5}\cos(x)dx
integral of cos(x)sin(x)e^{sin(x)}	\int\:\cos(x)\sin(x)e^{\sin(x)}dx
integral of 1/(1+\sqrt[4]{x)}	\int\:\frac{1}{1+\sqrt[4]{x}}dx
integral of 1/(x^{7/4)}	\int\:\frac{1}{x^{\frac{7}{4}}}dx
integral of (sqrt(64x^2-25))/(x^3)	\int\:\frac{\sqrt{64x^{2}-25}}{x^{3}}dx
integral of ((x+1))/(sqrt(9-x^2))	\int\:\frac{(x+1)}{\sqrt{9-x^{2}}}dx
integral of (3x-7)^{11}	\int\:(3x-7)^{11}dx
integral of-15sec(-3x)tan(-3x)sec^4(-3x)	\int\:-15\sec(-3x)\tan(-3x)\sec^{4}(-3x)dx
integral of ((x^2)^2)^2x^2)^2	\int\:((x^{2})^{2})^{2}d(x^{2})^{2}
integral of 8/(3x^3+7x^2+4x)	\int\:\frac{8}{3x^{3}+7x^{2}+4x}dx
integral of x/(sqrt(12-x^4))	\int\:\frac{x}{\sqrt{12-x^{4}}}dx
integral of 2/(x^2)+2/x+3e^x	\int\:\frac{2}{x^{2}}+\frac{2}{x}+3e^{x}dx
integral of sin(3x)cos(4x)cos(5x)	\int\:\sin(3x)\cos(4x)\cos(5x)dx
integral of 20tan^{19}(x)sec^2(x)	\int\:20\tan^{19}(x)\sec^{2}(x)dx
integral of (3x^2)/(\sqrt[3]{x^3-2)}	\int\:\frac{3x^{2}}{\sqrt[3]{x^{3}-2}}dx
integral of sqrt(x-1)-(x-1)^2	\int\:\sqrt{x-1}-(x-1)^{2}dx
integral of (x^3+3x^2-18x)/((x-3)(x+6))	\int\:\frac{x^{3}+3x^{2}-18x}{(x-3)(x+6)}dx
integral of (x+2)/2	\int\:\frac{x+2}{2}dx
integral of (20(1-x^2))/(1+x^2)	\int\:\frac{20(1-x^{2})}{1+x^{2}}dx
integral of ((x))/x	\int\:\frac{(x)}{x}dx
integral of sin^6((3x)/2)	\int\:\sin^{6}(\frac{3x}{2})dx
integral of (8/3)	\int\:(\frac{8}{3})dm
integral of (sqrt(t^2+2t-3))/((t+1)^4)	\int\:\frac{\sqrt{t^{2}+2t-3}}{(t+1)^{4}}dt
integral of-4x^3e^{-x^4}	\int\:-4x^{3}e^{-x^{4}}dx
integral of e^{-3x}sin(x/3)	\int\:e^{-3x}\sin(\frac{x}{3})dx
integral of (cot(x))/(sqrt(4-csc^2(x)))	\int\:\frac{\cot(x)}{\sqrt{4-\csc^{2}(x)}}dx
integral of (sec(y))/(sec(y)-1)	\int\:\frac{\sec(y)}{\sec(y)-1}dy
integral of sec^2(x)ln(cos(x))	\int\:\sec^{2}(x)\ln(\cos(x))dx
integral of (cos(x))/(sqrt(2x))	\int\:\frac{\cos(x)}{\sqrt{2x}}dx
integral of ((3x^2-5x+7))/(x^4)	\int\:\frac{(3x^{2}-5x+7)}{x^{4}}dx
integral of (4x-10)/(3+(x+1)^2)	\int\:\frac{4x-10}{3+(x+1)^{2}}dx
integral of sqrt(1-4^x)*2^x	\int\:\sqrt{1-4^{x}}\cdot\:2^{x}dx
integral of cos^{14}(x)sin(2x)	\int\:\cos^{14}(x)\sin(2x)dx
integral of (x-5)(x+3)	\int\:(x-5)(x+3)dx
integral of (x^2+3x)(2x+3)	\int\:(x^{2}+3x)(2x+3)dx
integral of (4sin(x))/(cos(x))	\int\:\frac{4\sin(x)}{\cos(x)}dx
integral of (2x-2)e^{3x}	\int\:(2x-2)e^{3x}dx
integral of (2x+1)/(\sqrt[4]{x^2+x)}	\int\:\frac{2x+1}{\sqrt[4]{x^{2}+x}}dx
integral of (8x^2+2)/(2x^3+x)	\int\:\frac{8x^{2}+2}{2x^{3}+x}dx
integral of 7/(5xsqrt(25x^2-7))	\int\:\frac{7}{5x\sqrt{25x^{2}-7}}dx
integral of 3cot^3(x)csc(x)	\int\:3\cot^{3}(x)\csc(x)dx
integral of (3x^2+7x-5)/(3x+2)	\int\:\frac{3x^{2}+7x-5}{3x+2}dx
integral of 1/(tan(x)(3-2ln(sin(x))))	\int\:\frac{1}{\tan(x)(3-2\ln(\sin(x)))}dx
integral of (2x-1)(-x^2+x)^4	\int\:(2x-1)(-x^{2}+x)^{4}dx
integral of-7xy^4	\int\:-7xy^{4}dx
integral of csc(0.5)	\int\:\csc(0.5)dx
integral of 5^{sqrt(x)} 1/(sqrt(x))	\int\:5^{\sqrt{x}}\frac{1}{\sqrt{x}}dx
integral of (x-2)/(x(x+1))	\int\:\frac{x-2}{x(x+1)}dx
integral of (4x^3-x)/(x^2-x-30)	\int\:\frac{4x^{3}-x}{x^{2}-x-30}dx
integral of (13)/(4x^2+12x+9)	\int\:\frac{13}{4x^{2}+12x+9}dx
integral of cos^3(t)sin^3(t)	\int\:\cos^{3}(t)\sin^{3}(t)dt
integral of 9cos(4x)cos(9x)	\int\:9\cos(4x)\cos(9x)dx
integral of (2x+3)/(x(x-3)(x+3))	\int\:\frac{2x+3}{x(x-3)(x+3)}dx
integral of (3x+2)/(x^3+3x^2+3x+1)	\int\:\frac{3x+2}{x^{3}+3x^{2}+3x+1}dx
integral of-10csc^2(5x)cot^3(5x)	\int\:-10\csc^{2}(5x)\cot^{3}(5x)dx
integral of sqrt(x)sqrt(16-x)	\int\:\sqrt{x}\sqrt{16-x}dx
integral of (3sqrt(x))/(-2)	\int\:\frac{3\sqrt{x}}{-2}dx
integral of (y^2)/((x^2+y^2)^{3/2)}	\int\:\frac{y^{2}}{(x^{2}+y^{2})^{\frac{3}{2}}}dx
integral of 3sqrt(x)-1/(2sqrt(x))	\int\:3\sqrt{x}-\frac{1}{2\sqrt{x}}dx
integral of x^{3/2}ln(3x)	\int\:x^{\frac{3}{2}}\ln(3x)dx
integral of (1-sin(2t))^{3/2}cos(2t)	\int\:(1-\sin(2t))^{\frac{3}{2}}\cos(2t)dt
integral of (x^6)/(1+x^4)	\int\:\frac{x^{6}}{1+x^{4}}dx
integral of 1/((1+sin(x))^2)	\int\:\frac{1}{(1+\sin(x))^{2}}dx
integral of (3sin(x)+2cos(x))^2	\int\:(3\sin(x)+2\cos(x))^{2}dx
integral of 1/(sqrt(3x^2+4))	\int\:\frac{1}{\sqrt{3x^{2}+4}}dx
integral of tan(x)sec^{5/2}(x)	\int\:\tan(x)\sec^{\frac{5}{2}}(x)dx
integral of (sqrt(x^4-1))/x	\int\:\frac{\sqrt{x^{4}-1}}{x}dx
integral of 12x^3-3/(x^3)+5e^{-x}	\int\:12x^{3}-\frac{3}{x^{3}}+5e^{-x}dx

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