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Popular Calculus Problems

integral of (x-4)/(x^2+3x+2)	\int\:\frac{x-4}{x^{2}+3x+2}dx
integral of (x-x^3)/x	\int\:\frac{x-x^{3}}{x}dx
integral of 2-e^{-x}	\int\:2-e^{-x}dx
integral of 16tan^2(x)sec(x)	\int\:16\tan^{2}(x)\sec(x)dx
integral of (7t^2)/2	\int\:\frac{7t^{2}}{2}dt
integral of 1/(t^{7/4)}	\int\:\frac{1}{t^{\frac{7}{4}}}dt
integral of (2sec^2(x)-8sec^2(5x))	\int\:(2\sec^{2}(x)-8\sec^{2}(5x))dx
integral of 1/(sqrt(9-x^2-8x))	\int\:\frac{1}{\sqrt{9-x^{2}-8x}}dx
integral of (3x^2+4x+2)/(x(x+1)^2)	\int\:\frac{3x^{2}+4x+2}{x(x+1)^{2}}dx
integral of 7/(5-4x-x^2)	\int\:\frac{7}{5-4x-x^{2}}dx
integral of (t^3)/((4t^2+9)^{3/2)}	\int\:\frac{t^{3}}{(4t^{2}+9)^{\frac{3}{2}}}dt
integral of 2csc(x)(csc(x)-3cot(x))	\int\:2\csc(x)(\csc(x)-3\cot(x))dx
integral of sqrt(16-2x^2)	\int\:\sqrt{16-2x^{2}}dx
integral of x*\sqrt[3]{5-2x}	\int\:x\cdot\:\sqrt[3]{5-2x}dx
integral of 7sin^2(x)cos(x)ln(sin(x))	\int\:7\sin^{2}(x)\cos(x)\ln(\sin(x))dx
integral of (25z^5+2z^3-3z^2-z+1)/(5z^3)	\int\:\frac{25z^{5}+2z^{3}-3z^{2}-z+1}{5z^{3}}dz
integral of (1-x^3)/(x(x^2+1))	\int\:\frac{1-x^{3}}{x(x^{2}+1)}dx
integral of 6sin(3x)cos(3x)	\int\:6\sin(3x)\cos(3x)dx
integral of 6x^2arcsin(2x)	\int\:6x^{2}\arcsin(2x)dx
integral of 2+sqrt(4-x)+x	\int\:2+\sqrt{4-x}+xdx
integral of cos^6(4θ)	\int\:\cos^{6}(4θ)dθ
integral of (8y)/((x^3+1)^2)	\int\:\frac{8y}{(x^{3}+1)^{2}}dy
integral of 1/((-x^2+6x+5)^{3/2)}	\int\:\frac{1}{(-x^{2}+6x+5)^{\frac{3}{2}}}dx
integral of 1/(1+xy)	\int\:\frac{1}{1+xy}dy
integral of (7cosh(x)+1+tan^2(x))	\int\:(7\cosh(x)+1+\tan^{2}(x))dx
integral of x^29^{x^3-1}	\int\:x^{2}9^{x^{3}-1}dx
integral of (sqrt(x+1))/(x^{5/2)}	\int\:\frac{\sqrt{x+1}}{x^{\frac{5}{2}}}dx
integral of 1/(4+4sin(x))	\int\:\frac{1}{4+4\sin(x)}dx
integral of (ln(x))/(x^{13)}	\int\:\frac{\ln(x)}{x^{13}}dx
integral of 4e^{-2x}+5e^{3x}	\int\:4e^{-2x}+5e^{3x}dx
integral of (x/(sqrt(x^2-9)))	\int\:(\frac{x}{\sqrt{x^{2}-9}})dx
integral of 2e^{-2x}+4x+1	\int\:2e^{-2x}+4x+1dx
integral of+xe^{x^2}sin(x^2)	\int\:+xe^{x^{2}}\sin(x^{2})dx
integral of ((ln(x))^2)/(2x^6)	\int\:\frac{(\ln(x))^{2}}{2x^{6}}dx
integral of (1+sqrt(x))/(sqrt(x))	\int\:\frac{1+\sqrt{x}}{\sqrt{x}}dx
integral of 1/(100+t)	\int\:\frac{1}{100+t}dt
integral of 1/(sqrt(9y^2+64))	\int\:\frac{1}{\sqrt{9y^{2}+64}}dy
integral of xe^{2x}sin(x)	\int\:xe^{2x}\sin(x)dx
integral of 1/(y^2sqrt(y^2-4))	\int\:\frac{1}{y^{2}\sqrt{y^{2}-4}}dy
integral of ((2x-1)(x+3))/(sqrt(x))	\int\:\frac{(2x-1)(x+3)}{\sqrt{x}}dx
integral of cos^2(x)tan^2(x)	\int\:\cos^{2}(x)\tan^{2}(x)dx
integral of sin^5(x)*cos^4(x)	\int\:\sin^{5}(x)\cdot\:\cos^{4}(x)dx
integral of sqrt(3x-10)	\int\:\sqrt{3x-10}dx
integral of (4sin^2(3x))(2cos^4(3x))	\int\:(4\sin^{2}(3x))(2\cos^{4}(3x))dx
integral of cos(3x)sin^3(3x)	\int\:\cos(3x)\sin^{3}(3x)dx
integral of (1-3x+x^3)\sqrt[3]{x}	\int\:(1-3x+x^{3})\sqrt[3]{x}dx
integral of 1/(4-(x-1)^2)	\int\:\frac{1}{4-(x-1)^{2}}dx
integral of 10000-2(2q+q^3)	\int\:10000-2(2q+q^{3})dq
integral of 20e^{4x}	\int\:20e^{4x}dx
integral of ((x-1))/(x^{2/3)+x^{1/3}+1}	\int\:\frac{(x-1)}{x^{\frac{2}{3}}+x^{\frac{1}{3}}+1}dx
integral of ((sqrt(9-x^2)))/x	\int\:\frac{(\sqrt{9-x^{2}})}{x}dx
integral of (2t+2)/(t^2+t+1)	\int\:\frac{2t+2}{t^{2}+t+1}dt
integral of (8x)/((x-1)^2)	\int\:\frac{8x}{(x-1)^{2}}dx
integral of sec(1/2 x)tan(1/2 x)	\int\:\sec(\frac{1}{2}x)\tan(\frac{1}{2}x)dx
integral of ((sqrt(x)+1)^5)/(sqrt(x))	\int\:\frac{(\sqrt{x}+1)^{5}}{\sqrt{x}}dx
integral of (1-\sqrt[3]{x})/(x^2)	\int\:\frac{1-\sqrt[3]{x}}{x^{2}}dx
integral of tan^4(a)	\int\:\tan^{4}(a)da
integral of csc^3(2t-3)	\int\:\csc^{3}(2t-3)dt
integral of 2βx(1-x^2)^{β-1}	\int\:2βx(1-x^{2})^{β-1}dx
integral of sin(3x)*e^{-x}	\int\:\sin(3x)\cdot\:e^{-x}dx
integral of (sin(2t))	\int\:(\sin(2t))dt
integral of 1/((x+9)^8)	\int\:\frac{1}{(x+9)^{8}}dx
integral of ((x+2))/(sqrt(9-x^2))	\int\:\frac{(x+2)}{\sqrt{9-x^{2}}}dx
integral of (2x-5sqrt(x))^2	\int\:(2x-5\sqrt{x})^{2}dx
integral of (e^x)/(sqrt(-e^{2x)-4e^x)}	\int\:\frac{e^{x}}{\sqrt{-e^{2x}-4e^{x}}}dx
integral of (tan(5w)+cot(5w))^2	\int\:(\tan(5w)+\cot(5w))^{2}dw
integral of ((arctan(x))^n)/(1+x^2)	\int\:\frac{(\arctan(x))^{n}}{1+x^{2}}dx
integral of (x^4+3x^3+x+1)/(x^2+1)	\int\:\frac{x^{4}+3x^{3}+x+1}{x^{2}+1}dx
integral of (pitan^3(3x))(-2pisec^4(3x))	\int\:(π\tan^{3}(3x))(-2π\sec^{4}(3x))dx
integral of 31tan^5(x)sec^4(x)	\int\:31\tan^{5}(x)\sec^{4}(x)dx
integral of 5x^4+2x^{-3}-3e^x+2/3 x^{-1}	\int\:5x^{4}+2x^{-3}-3e^{x}+\frac{2}{3}x^{-1}dx
integral of (x-2)/((x-1)(x+2)(x+4))	\int\:\frac{x-2}{(x-1)(x+2)(x+4)}dx
integral of (x^2-3)/(x^2+1)	\int\:\frac{x^{2}-3}{x^{2}+1}dx
integral of (1/x-1)	\int\:(\frac{1}{x}-1)dx
integral of 6x^2sin(x^3-5)	\int\:6x^{2}\sin(x^{3}-5)dx
integral of x^{-1}(2x+x^2)	\int\:x^{-1}(2x+x^{2})dx
integral of tan^2(θ)sec^3(θ)	\int\:\tan^{2}(θ)\sec^{3}(θ)dθ
integral of (tan(x)-2)	\int\:(\tan(x)-2)dx
integral of x21^x	\int\:x21^{x}dx
integral of-(58)/((3x+2)^2)	\int\:-\frac{58}{(3x+2)^{2}}dx
integral of (x-48)/(x^2-x-6)	\int\:\frac{x-48}{x^{2}-x-6}dx
integral of+sin(6x)cos(6x)	\int\:+\sin(6x)\cos(6x)dx
integral of 5(5-4cos(x))^{1/4}sin(x)	\int\:5(5-4\cos(x))^{\frac{1}{4}}\sin(x)dx
integral of 8y^7-1/2 sqrt(y)+y^{1/3}	\int\:8y^{7}-\frac{1}{2}\sqrt{y}+y^{\frac{1}{3}}dy
integral of 1/(x^2sqrt(4+9x^2))	\int\:\frac{1}{x^{2}\sqrt{4+9x^{2}}}dx
integral of 7sqrt(4x+8)	\int\:7\sqrt{4x+8}dx
integral of 1/(10-5x)	\int\:\frac{1}{10-5x}dx
integral of (3cos(x))/(sin(x))	\int\:\frac{3\cos(x)}{\sin(x)}dx
integral of (21x-69)/((x-2)(x-5))	\int\:\frac{21x-69}{(x-2)(x-5)}dx
integral of sec^6(y)	\int\:\sec^{6}(y)dy
integral of (sin(θ)+cos(θ))/(sin(θ))	\int\:\frac{\sin(θ)+\cos(θ)}{\sin(θ)}dθ
integral of (sqrt(11y^2-15))/(y^2)	\int\:\frac{\sqrt{11y^{2}-15}}{y^{2}}dy
integral of (17.6x)/(sqrt(17.6x^2+1))	\int\:\frac{17.6x}{\sqrt{17.6x^{2}+1}}dx
integral of tan(11x)sec^2(11x)	\int\:\tan(11x)\sec^{2}(11x)dx
integral of 5e^{4x}cos(x)	\int\:5e^{4x}\cos(x)dx
integral of (8x^2)/(sqrt(100-x^2))	\int\:\frac{8x^{2}}{\sqrt{100-x^{2}}}dx
integral of (x+8)/(x^2+x+2)	\int\:\frac{x+8}{x^{2}+x+2}dx
integral of e^{-t}2te^{2t}	\int\:e^{-t}2te^{2t}dt
integral of (x^2)/((7+x^3)^2)	\int\:\frac{x^{2}}{(7+x^{3})^{2}}dx
integral of (x^3+4)/(x^5+14x^3+40x)	\int\:\frac{x^{3}+4}{x^{5}+14x^{3}+40x}dx

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