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Popular Calculus Problems

integral of (3x^2+9x+1)/x	\int\:\frac{3x^{2}+9x+1}{x}dx
integral of (sec^2(z))/(3+5tan(z))	\int\:\frac{\sec^{2}(z)}{3+5\tan(z)}dz
integral of (cos(x))/4	\int\:\frac{\cos(x)}{4}dx
integral of sin(x^2+x)	\int\:\sin(x^{2}+x)dx
integral of 1/(sin(ax)cos(ax))	\int\:\frac{1}{\sin(ax)\cos(ax)}dx
integral of xe^{5-x}	\int\:xe^{5-x}dx
integral of (2x^3-12x+10)/(x^2-x-6)	\int\:\frac{2x^{3}-12x+10}{x^{2}-x-6}dx
integral of sin(hx)	\int\:\sin(hx)dx
integral of (24)/(1+9x^2)	\int\:\frac{24}{1+9x^{2}}dx
integral of (2+2tan^2(x))	\int\:(2+2\tan^{2}(x))dx
integral of (x^3)/(sqrt((16)^2-x^2))	\int\:\frac{x^{3}}{\sqrt{(16)^{2}-x^{2}}}dx
integral of sqrt(7-3x)	\int\:\sqrt{7-3x}dx
integral of 13arctan(x)	\int\:13\arctan(x)dx
integral of x^{11}ln(7x^6)	\int\:x^{11}\ln(7x^{6})dx
integral of (sqrt(x-1))/(sqrt(x))	\int\:\frac{\sqrt{x-1}}{\sqrt{x}}dx
integral of 25.89e^{-0.993x}+6.39	\int\:25.89e^{-0.993x}+6.39dx
integral of arcsin(x/(sqrt(2)))	\int\:\arcsin(\frac{x}{\sqrt{2}})dx
integral of (cos(ax)-cos(bx))/(x^2)	\int\:\frac{\cos(ax)-\cos(bx)}{x^{2}}dx
integral of (x^2-3x+3)/(x^2-3x+2)	\int\:\frac{x^{2}-3x+3}{x^{2}-3x+2}dx
integral of x/(x-3x+2)	\int\:\frac{x}{x-3x+2}dx
integral of (x-2)/(x^2+2x+5)	\int\:\frac{x-2}{x^{2}+2x+5}dx
integral of 12cos^2(x)	\int\:12\cos^{2}(x)dx
integral of e^x(e^x+x)	\int\:e^{x}(e^{x}+x)dx
integral of-9x^4	\int\:-9x^{4}dx
integral of 4/((x^2-64)^{1/2)}	\int\:\frac{4}{(x^{2}-64)^{\frac{1}{2}}}dx
integral of t(2-3t^2)^2	\int\:t(2-3t^{2})^{2}dt
integral of sec^2(8θ)	\int\:\sec^{2}(8θ)dθ
integral of sqrt(x^3)ln(2x)	\int\:\sqrt{x^{3}}\ln(2x)dx
integral of (6x+2)^2	\int\:(6x+2)^{2}dx
integral of ((cos(x)-xsin(x)))/(xcos(x))	\int\:\frac{(\cos(x)-x\sin(x))}{x\cos(x)}dx
integral of \|3x\|	\int\:\left\|3x\right\|dx
integral of (3/(sqrt(1-x^2)))	\int\:(\frac{3}{\sqrt{1-x^{2}}})dx
integral of ((sqrt(x)-x))/(x^2)	\int\:\frac{(\sqrt{x}-x)}{x^{2}}dx
integral of (5x^2-6x+4)/(x^2)	\int\:\frac{5x^{2}-6x+4}{x^{2}}dx
integral of tan^3(4x)sec^4(4x)	\int\:\tan^{3}(4x)\sec^{4}(4x)dx
integral of 2^x-1-(3x)/2	\int\:2^{x}-1-\frac{3x}{2}dx
integral of 1/(sqrt((x^2-a^2)^3))	\int\:\frac{1}{\sqrt{(x^{2}-a^{2})^{3}}}dx
integral of-0.08x^2+4x	\int\:-0.08x^{2}+4xdx
integral of x^2(4-x^3)^4	\int\:x^{2}(4-x^{3})^{4}dx
integral of (x^2+x)(e^{1-2x})	\int\:(x^{2}+x)(e^{1-2x})dx
integral of ((1-x)^2)/(\sqrt[3]{x)}	\int\:\frac{(1-x)^{2}}{\sqrt[3]{x}}dx
integral of 1/(cos^2(x)+sin^2(x))	\int\:\frac{1}{\cos^{2}(x)+\sin^{2}(x)}dx
integral of cot^3(y)csc^2(y)	\int\:\cot^{3}(y)\csc^{2}(y)dy
integral of (3x)/((x^2-1)^5)	\int\:\frac{3x}{(x^{2}-1)^{5}}dx
integral of 3/2 (1-x)^2	\int\:\frac{3}{2}(1-x)^{2}dx
integral of (1-sqrt(x))/x	\int\:\frac{1-\sqrt{x}}{x}dx
integral of-9x^2	\int\:-9x^{2}dx
integral of x-1/3	\int\:x-\frac{1}{3}dx
integral of csc^2((x-1)/3)	\int\:\csc^{2}(\frac{x-1}{3})dx
integral of e^{4x}cos(-1x)	\int\:e^{4x}\cos(-1x)dx
integral of-x*sin(x)	\int\:-x\cdot\:\sin(x)dx
integral of (1/((x^2+1)))	\int\:(\frac{1}{(x^{2}+1)})dx
integral of (2x)/(x+sqrt(x^2-1))	\int\:\frac{2x}{x+\sqrt{x^{2}-1}}dx
integral of atln(t+b)	\int\:at\ln(t+b)dt
integral of sin(x)cos(x)e^{cos(x)}	\int\:\sin(x)\cos(x)e^{\cos(x)}dx
integral of 7/(xln(4x))	\int\:\frac{7}{x\ln(4x)}dx
integral of e^{-kx^2}	\int\:e^{-kx^{2}}dx
integral of x^2(5-x^3)^{2/3}	\int\:x^{2}(5-x^{3})^{\frac{2}{3}}dx
integral of (1-x^3)/((1+x^2)(1-x^2))	\int\:\frac{1-x^{3}}{(1+x^{2})(1-x^{2})}dx
integral of (x^2-x+5)e^x	\int\:(x^{2}-x+5)e^{x}dx
integral of (x+5)/(sqrt(x^2+6x+13))	\int\:\frac{x+5}{\sqrt{x^{2}+6x+13}}dx
integral of (e^x+1/(8x))	\int\:(e^{x}+\frac{1}{8x})dx
integral of (xy)/2	\int\:\frac{xy}{2}dx
integral of 1/(x-2x^2)	\int\:\frac{1}{x-2x^{2}}dx
integral of 2xln^2(x)	\int\:2x\ln^{2}(x)dx
integral of (2x)/(5+3x^2)	\int\:\frac{2x}{5+3x^{2}}dx
integral of (8+t+6t^2-12t^3)/((3t^2+4)(t^2+7))	\int\:\frac{8+t+6t^{2}-12t^{3}}{(3t^{2}+4)(t^{2}+7)}dt
integral of 5e^{cos(x)}sin(x)	\int\:5e^{\cos(x)}\sin(x)dx
integral of xe^{x^2+4}	\int\:xe^{x^{2}+4}dx
integral of (2x^{3/4})	\int\:(2x^{\frac{3}{4}})dx
integral of (sin(x))/(sqrt(1+sin^2(x)))	\int\:\frac{\sin(x)}{\sqrt{1+\sin^{2}(x)}}dx
integral of ln(cos(x)tan(x))	\int\:\ln(\cos(x)\tan(x))dx
integral of 2x(x^2+4)^9	\int\:2x(x^{2}+4)^{9}dx
integral of 1/(x^4(x^2+1))	\int\:\frac{1}{x^{4}(x^{2}+1)}dx
integral of (x^2)/(sqrt(x^2+100))	\int\:\frac{x^{2}}{\sqrt{x^{2}+100}}dx
integral of xe^{-kx}	\int\:xe^{-kx}dx
integral of 1/(sqrt(t+1))	\int\:\frac{1}{\sqrt{t+1}}dt
integral of x^{1/3}+1	\int\:x^{\frac{1}{3}}+1dx
integral of x^3+1/x	\int\:x^{3}+\frac{1}{x}dx
integral of 2x^3-8x	\int\:2x^{3}-8xdx
integral of 1/(4x^3-x)	\int\:\frac{1}{4x^{3}-x}dx
integral of 1/(cos^2(x)sqrt(1+tan^2(x)))	\int\:\frac{1}{\cos^{2}(x)\sqrt{1+\tan^{2}(x)}}dx
integral of x^{16}	\int\:x^{16}dx
integral of cos(3-2x)	\int\:\cos(3-2x)dx
integral of (x^2-2x-3)/((x-1)(x^2+2x+2))	\int\:\frac{x^{2}-2x-3}{(x-1)(x^{2}+2x+2)}dx
integral of 1/((2-x)^3)	\int\:\frac{1}{(2-x)^{3}}dx
integral of-xsin(xy)	\int\:-x\sin(xy)dy
integral of 1/(z(z+1))	\int\:\frac{1}{z(z+1)}dz
integral of 1/(t^2+6t+50)	\int\:\frac{1}{t^{2}+6t+50}dt
integral of (e^x)/(3+4e^x)	\int\:\frac{e^{x}}{3+4e^{x}}dx
integral of 9x^5-3x^2+7	\int\:9x^{5}-3x^{2}+7dx
integral of x(5-x^2)^{-3}	\int\:x(5-x^{2})^{-3}dx
integral of 2x\sqrt[3]{x^2-5}	\int\:2x\sqrt[3]{x^{2}-5}dx
integral of 18-2x^2	\int\:18-2x^{2}dx
integral of (cos(x))/((5+sin(x))^5)	\int\:\frac{\cos(x)}{(5+\sin(x))^{5}}dx
integral of-(x+1)	\int\:-(x+1)dx
integral of 8^{2x}	\int\:8^{2x}dx
integral of 3t^2-10t+19	\int\:3t^{2}-10t+19dt
integral of \sqrt[5]{5x+7}	\int\:\sqrt[5]{5x+7}dx
integral of (3x^2+1)/(x^3+x^2+x+1)	\int\:\frac{3x^{2}+1}{x^{3}+x^{2}+x+1}dx

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