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Popular Calculus Problems
integral of (4x^{-2}-3)
\int\:(4x^{-2}-3)dx
integral of (x-7)/(x^2+4x-5)
\int\:\frac{x-7}{x^{2}+4x-5}dx
integral of cos^5(t)sin^2(t)
\int\:\cos^{5}(t)\sin^{2}(t)dt
integral of ((4x-5))/((2x+1)^3(x-3)^3)
\int\:\frac{(4x-5)}{(2x+1)^{3}(x-3)^{3}}dx
integral of (5x^3)/((x^2+1)^3)
\int\:\frac{5x^{3}}{(x^{2}+1)^{3}}dx
integral of x^3sqrt(a^2+2x^2)
\int\:x^{3}\sqrt{a^{2}+2x^{2}}dx
integral of x/(sqrt(5-(3-x)^2))
\int\:\frac{x}{\sqrt{5-(3-x)^{2}}}dx
integral of (6+3x^4)/(x^3+9x)
\int\:\frac{6+3x^{4}}{x^{3}+9x}dx
integral of x(a-x)*sin((npix)/a)
\int\:x(a-x)\cdot\:\sin(\frac{nπx}{a})dx
integral of xe^{5x^2+9}
\int\:xe^{5x^{2}+9}dx
integral of 5/(x(x+1)^2)
\int\:\frac{5}{x(x+1)^{2}}dx
integral of 50-3xe^{0.01x^2}
\int\:50-3xe^{0.01x^{2}}dx
integral of (21t^2-10t)/(7t^3-5t^2+13)
\int\:\frac{21t^{2}-10t}{7t^{3}-5t^{2}+13}dt
integral of (x^2+2)/(sqrt(x^3+6x))
\int\:\frac{x^{2}+2}{\sqrt{x^{3}+6x}}dx
integral of sin^5(v)cos^2(v)
\int\:\sin^{5}(v)\cos^{2}(v)dv
integral of (csc(x))/(1+sec(x))
\int\:\frac{\csc(x)}{1+\sec(x)}dx
integral of (x-1)/(sqrt(x^2+2x+2))
\int\:\frac{x-1}{\sqrt{x^{2}+2x+2}}dx
integral of xarctan(sqrt(7x))
\int\:x\arctan(\sqrt{7x})dx
integral of tan^6(2x)sec^4(2x)
\int\:\tan^{6}(2x)\sec^{4}(2x)dx
integral of arccos(6x)
\int\:\arccos(6x)dx
integral of 1/((x-5)(x-4))
\int\:\frac{1}{(x-5)(x-4)}dx
integral of y/((x+y)^2)
\int\:\frac{y}{(x+y)^{2}}dy
integral of (tan(x))/(sin^2(x))
\int\:\frac{\tan(x)}{\sin^{2}(x)}dx
integral of (x+3)/(sqrt(3-2x-x^2))
\int\:\frac{x+3}{\sqrt{3-2x-x^{2}}}dx
integral of 5ysin(4x)
\int\:5y\sin(4x)dx
integral of 5/(x^2)sin^2(5/x)
\int\:\frac{5}{x^{2}}\sin^{2}(\frac{5}{x})dx
integral of x^3(1+2x^2)^{-3/2}
\int\:x^{3}(1+2x^{2})^{-\frac{3}{2}}dx
integral of (2(x^5-x^3+4))/(x^5)
\int\:\frac{2(x^{5}-x^{3}+4)}{x^{5}}dx
integral of x(x^4+1)^2
\int\:x(x^{4}+1)^{2}dx
integral of (x+2)^2ln(5x)
\int\:(x+2)^{2}\ln(5x)dx
integral of sin^{10}(x)cos^5(x)
\int\:\sin^{10}(x)\cos^{5}(x)dx
integral of ((6x+6))/(sqrt(x^2+2x-4))
\int\:\frac{(6x+6)}{\sqrt{x^{2}+2x-4}}dx
integral of (2x)/((1+x)(1+x^2))
\int\:\frac{2x}{(1+x)(1+x^{2})}dx
integral of (e^{5x-3})
\int\:(e^{5x-3})dx
integral of 1/(3^x-1)
\int\:\frac{1}{3^{x}-1}dx
integral of (v(v^2-1))/(v^2+1)
\int\:\frac{v(v^{2}-1)}{v^{2}+1}dv
integral of cos(-3x)(sin(-3x))^{-5}
\int\:\cos(-3x)(\sin(-3x))^{-5}dx
integral of 1/(sqrt(e^{2t)-1)}
\int\:\frac{1}{\sqrt{e^{2t}-1}}dt
integral of x/((2x^2+3)^3)
\int\:\frac{x}{(2x^{2}+3)^{3}}dx
integral of (x^2+x+1)/((x-1)^2(x+3))
\int\:\frac{x^{2}+x+1}{(x-1)^{2}(x+3)}dx
integral of (sqrt(4+\sqrt{x)})/(sqrt(x))
\int\:\frac{\sqrt{4+\sqrt{x}}}{\sqrt{x}}dx
integral of y/(sqrt(9-y^2))
\int\:\frac{y}{\sqrt{9-y^{2}}}dy
integral of 1/(3+cos(2x))
\int\:\frac{1}{3+\cos(2x)}dx
integral of (-sin(1/x))/(x^3)
\int\:\frac{-\sin(\frac{1}{x})}{x^{3}}dx
integral of (e^{7-2x})
\int\:(e^{7-2x})dx
integral of sqrt(-8+6x-x^2)
\int\:\sqrt{-8+6x-x^{2}}dx
integral of sin(1-x)(2-cos(1-x))^4
\int\:\sin(1-x)(2-\cos(1-x))^{4}dx
integral of (e^{3p-7})
\int\:(e^{3p-7})dp
integral of 3/(x^2-8x+13)
\int\:\frac{3}{x^{2}-8x+13}dx
integral of 2/(sqrt(x)(x+5))
\int\:\frac{2}{\sqrt{x}(x+5)}dx
integral of 7/(2+3y)
\int\:\frac{7}{2+3y}dy
integral of 2cot^2(x)csc^4(x)
\int\:2\cot^{2}(x)\csc^{4}(x)dx
integral of x/((x-1)(x-3)^2)
\int\:\frac{x}{(x-1)(x-3)^{2}}dx
integral of (sin(2x))/((1+cos(2x)))
\int\:\frac{\sin(2x)}{(1+\cos(2x))}dx
integral of 1/(x^4-4)
\int\:\frac{1}{x^{4}-4}dx
integral of cos^3(3y)
\int\:\cos^{3}(3y)dy
integral of (sec(x))/(asec(x)-acos(x))
\int\:\frac{\sec(x)}{a\sec(x)-a\cos(x)}dx
integral of 1/(x(ln(x^2))^5)
\int\:\frac{1}{x(\ln(x^{2}))^{5}}dx
integral of x(ax+b)^n
\int\:x(ax+b)^{n}dx
integral of x^2e^{2ln(x)}
\int\:x^{2}e^{2\ln(x)}dx
integral of 3/(2sin^2(x)+5)
\int\:\frac{3}{2\sin^{2}(x)+5}dx
integral of 9(x^2+1)(x^3+3x)^3
\int\:9(x^{2}+1)(x^{3}+3x)^{3}dx
integral of sin(8x)cos(7x)
\int\:\sin(8x)\cos(7x)dx
integral of cosh(2x)sinh(2x)
\int\:\cosh(2x)\sinh(2x)dx
integral of (10x)/(4x^2+8x+9)
\int\:\frac{10x}{4x^{2}+8x+9}dx
integral of sin^6(x)cos^2(x)
\int\:\sin^{6}(x)\cos^{2}(x)dx
integral of 1/(2xsqrt(9-x^2))
\int\:\frac{1}{2x\sqrt{9-x^{2}}}dx
integral of x^2sin(βx)
\int\:x^{2}\sin(βx)dx
integral of (2(tan(x)+3)^7)/(cos^2(x))
\int\:\frac{2(\tan(x)+3)^{7}}{\cos^{2}(x)}dx
integral of (sec^4(2x))/(tan^9(2x))
\int\:\frac{\sec^{4}(2x)}{\tan^{9}(2x)}dx
integral of (sin(x)+2x)
\int\:(\sin(x)+2x)dx
integral of (5x-1)/(x(x-3)^2(x+2)^2)
\int\:\frac{5x-1}{x(x-3)^{2}(x+2)^{2}}dx
integral of (30)/(0.06x+5)
\int\:\frac{30}{0.06x+5}dx
integral of 5sqrt(z)
\int\:5\sqrt{z}dz
integral of 1/(sqrt(3x^2+12))
\int\:\frac{1}{\sqrt{3x^{2}+12}}dx
integral of (2x^3+1)/(x^2-4x)
\int\:\frac{2x^{3}+1}{x^{2}-4x}dx
integral of 1/(3x^2sqrt(25-x^2))
\int\:\frac{1}{3x^{2}\sqrt{25-x^{2}}}dx
integral of x/(5-x)
\int\:\frac{x}{5-x}dx
integral of (tan(θ)+sec(θ))^2
\int\:(\tan(θ)+\sec(θ))^{2}dθ
integral of (sqrt(x^2-2x))/x
\int\:\frac{\sqrt{x^{2}-2x}}{x}dx
integral of 2sqrt(1-25x^2)
\int\:2\sqrt{1-25x^{2}}dx
integral of xln(4+x^2)
\int\:x\ln(4+x^{2})dx
integral of (2x+5)/(x^2+4x+5)
\int\:\frac{2x+5}{x^{2}+4x+5}dx
integral of (sin(t))/((4+cos(t))^{3/2)}
\int\:\frac{\sin(t)}{(4+\cos(t))^{\frac{3}{2}}}dt
integral of 1/(2x^2+5x-1)
\int\:\frac{1}{2x^{2}+5x-1}dx
integral of (2x^2+x+1)/((x-1)(x^2+1))
\int\:\frac{2x^{2}+x+1}{(x-1)(x^{2}+1)}dx
integral of (5x^2-9x+6)/(x^3-2x^2+x)
\int\:\frac{5x^{2}-9x+6}{x^{3}-2x^{2}+x}dx
integral of 2/(sqrt(x)e^{\sqrt{x)}}
\int\:\frac{2}{\sqrt{x}e^{\sqrt{x}}}dx
integral of (4x^{10}+2x^4-15x^2)/(x^3)
\int\:\frac{4x^{10}+2x^{4}-15x^{2}}{x^{3}}dx
integral of+sin(8x)cos(4x)
\int\:+\sin(8x)\cos(4x)dx
integral of 1/2 x^3(x^2+1)^{65}
\int\:\frac{1}{2}x^{3}(x^{2}+1)^{65}dx
integral of ((1+2ln(x))^4)/x
\int\:\frac{(1+2\ln(x))^{4}}{x}dx
integral of 4x^3(x^4+5)^4
\int\:4x^{3}(x^{4}+5)^{4}dx
integral of ((u^2+1)^2)/(u^3)
\int\:\frac{(u^{2}+1)^{2}}{u^{3}}du
integral of x^4sqrt(x+4)
\int\:x^{4}\sqrt{x+4}dx
integral of 47tan^5(x)sec^4(x)
\int\:47\tan^{5}(x)\sec^{4}(x)dx
integral of 1/(xsqrt(x^2-2x+5))
\int\:\frac{1}{x\sqrt{x^{2}-2x+5}}dx
integral of sin^2(3θ)cos(3θ)
\int\:\sin^{2}(3θ)\cos(3θ)dθ
integral of (x*e^{2x})/((2x+1)^2)
\int\:\frac{x\cdot\:e^{2x}}{(2x+1)^{2}}dx
integral of sec^4(x/6)
\int\:\sec^{4}(\frac{x}{6})dx
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