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Popular Calculus Problems
integral from 0 to 2 of (4-y)
\int\:_{0}^{2}(4-y)dy
integral from 0 to 2 of (e^x)/(e^x+1)
\int\:_{0}^{2}\frac{e^{x}}{e^{x}+1}dx
integral from 1 to x of (2xy+3y^2)
\int\:_{1}^{x}(2xy+3y^{2})dy
integral from 0 to t of cosh(2u)
\int\:_{0}^{t}\cosh(2u)du
integral from-2 to 2 of (32)/(x^2+4)-x^2
\int\:_{-2}^{2}\frac{32}{x^{2}+4}-x^{2}dx
integral from 0 to 2 of 1/((1-x^2)x^2)
\int\:_{0}^{2}\frac{1}{(1-x^{2})x^{2}}dx
integral from-2 to 1 of (x^2+1)
\int\:_{-2}^{1}(x^{2}+1)dx
integral from 0 to 2 of [x]
\int\:_{0}^{2}[x]dx
integral from 0 to 2 of (x^2-5)
\int\:_{0}^{2}(x^{2}-5)dx
integral from e to 2e of ln(x)
\int\:_{e}^{2e}\ln(x)dx
integral from 0 to 3 of (x^2)/(x^3+9)
\int\:_{0}^{3}\frac{x^{2}}{x^{3}+9}dx
integral from 0 to x of (x-y)
\int\:_{0}^{x}(x-y)dy
integral from 0 to x of (x^2)/9
\int\:_{0}^{x}\frac{x^{2}}{9}dx
integral from 1 to e of 9/x
\int\:_{1}^{e}\frac{9}{x}dx
integral from 0 to 1 of 1/2 (1-x^2)^2
\int\:_{0}^{1}\frac{1}{2}(1-x^{2})^{2}dx
integral from 0 to 7 of 3/(sqrt(x+9))
\int\:_{0}^{7}\frac{3}{\sqrt{x+9}}dx
integral from 0 to pi/2 of (cos(x)-1)
\int\:_{0}^{\frac{π}{2}}(\cos(x)-1)dx
integral from-1 to 1 of ((x^3-8)/(x-2))
\int\:_{-1}^{1}(\frac{x^{3}-8}{x-2})dx
integral from-1 to 1 of sqrt(x^2+2)
\int\:_{-1}^{1}\sqrt{x^{2}+2}dx
integral from 0.5 to 0 of x
\int\:_{0.5}^{0}xdx
integral from 2 to 5 of 6x^{-2}
\int\:_{2}^{5}6x^{-2}dx
integral from 4 to 7 of e^{2x+1}
\int\:_{4}^{7}e^{2x+1}dx
integral from 2 to 1 of (1+z/2)
\int\:_{2}^{1}(1+\frac{z}{2})dz
integral from 1 to x of sin(x)
\int\:_{1}^{x}\sin(x)dx
integral from 0 to 1 of e^x-e^{-2x}
\int\:_{0}^{1}e^{x}-e^{-2x}dx
integral from 0 to sqrt(5 of)sqrt(5-x^2)
\int\:_{0}^{\sqrt{5}}\sqrt{5-x^{2}}dx
integral from 0 to 2 of xe^{(-x^2-1)/2}
\int\:_{0}^{2}xe^{\frac{-x^{2}-1}{2}}dx
integral from 1 to 4 of-sqrt(x)-(2-x)
\int\:_{1}^{4}-\sqrt{x}-(2-x)dx
integral from 0 to h of b/h (h-y)
\int\:_{0}^{h}\frac{b}{h}(h-y)dy
integral from 1 to 4 of (2sqrt(x))
\int\:_{1}^{4}(2\sqrt{x})dx
integral from 0 to pi of cos(1/2)x
\int\:_{0}^{π}\cos(\frac{1}{2})xdx
limit as x approaches pi/2 of (cos(x))/(1-sin(x))
\lim\:_{x\to\:\frac{π}{2}}(\frac{\cos(x)}{1-\sin(x)})
limit as x approaches pi/2 of (ln(sin(x)))/((pi-2x)^2)
\lim\:_{x\to\:\frac{π}{2}}(\frac{\ln(\sin(x))}{(π-2x)^{2}})
limit as x approaches 3 of (2x-4)^4(x-2)
\lim\:_{x\to\:3}((2x-4)^{4}(x-2))
limit as x approaches 4 of (x^2+4)/5
\lim\:_{x\to\:4}(\frac{x^{2}+4}{5})
limit as x approaches pi/2 of (3cos^2(x))/(2-2sin(x))
\lim\:_{x\to\:\frac{π}{2}}(\frac{3\cos^{2}(x)}{2-2\sin(x)})
limit as x approaches pi/3 of (1-2cos(x))/(pi-3x)
\lim\:_{x\to\:\frac{π}{3}}(\frac{1-2\cos(x)}{π-3x})
limit as x approaches-2 of 3x-2
\lim\:_{x\to\:-2}(3x-2)
limit as x approaches 0 of (csc(x))^x
\lim\:_{x\to\:0}((\csc(x))^{x})
limit as x approaches pi/2 of (cos(x))/(cot(x))
\lim\:_{x\to\:\frac{π}{2}}(\frac{\cos(x)}{\cot(x)})
limit as x approaches 0 of x^3+3x^2-x+1
\lim\:_{x\to\:0}(x^{3}+3x^{2}-x+1)
limit as x approaches infinity of x-3x^2
\lim\:_{x\to\:\infty\:}(x-3x^{2})
limit as x approaches x/2 of 3sec(x)-3tan(x)
\lim\:_{x\to\:\frac{x}{2}}(3\sec(x)-3\tan(x))
limit as x approaches 3 of (sqrt(x^2+40)-7)/(x-3)
\lim\:_{x\to\:3}(\frac{\sqrt{x^{2}+40}-7}{x-3})
limit as x approaches pi/2 of (sin(x))/(cos(x))
\lim\:_{x\to\:\frac{π}{2}}(\frac{\sin(x)}{\cos(x)})
limit as x approaches pi of (sin(x))/(2+cos(x))
\lim\:_{x\to\:π}(\frac{\sin(x)}{2+\cos(x)})
limit as x approaches-1 of 6x^3-7x+12
\lim\:_{x\to\:-1}(6x^{3}-7x+12)
limit as x approaches 3-of 2e^{x-3}
\lim\:_{x\to\:3-}(2e^{x-3})
limit as x approaches 0+of 3(tan(x))^x
\lim\:_{x\to\:0+}(3(\tan(x))^{x})
limit as x approaches 0 of (4x-2x^2)/(sin(x))
\lim\:_{x\to\:0}(\frac{4x-2x^{2}}{\sin(x)})
limit as x approaches-2 of (2x+1)/(x-3)
\lim\:_{x\to\:-2}(\frac{2x+1}{x-3})
limit as x approaches+0+of sin(x)nx
\lim\:_{x\to\:+0+}(\sin(x)nx)
limit as n approaches 1 of (n^3-1)/(n-1)
\lim\:_{n\to\:1}(\frac{n^{3}-1}{n-1})
limit as x approaches 0 of (x^2-2x)/(3x)
\lim\:_{x\to\:0}(\frac{x^{2}-2x}{3x})
limit as x approaches 0 of (x-2)/(|x|-2)
\lim\:_{x\to\:0}(\frac{x-2}{\left|x\right|-2})
limit as x approaches-8-of f(x)
\lim\:_{x\to\:-8-}(f(x))
limit as x approaches infinity of ln(x)sin(1/x)
\lim\:_{x\to\:\infty\:}(\ln(x)\sin(\frac{1}{x}))
limit as x approaches 0+of cos^{1/x}(3x)
\lim\:_{x\to\:0+}(\cos^{\frac{1}{x}}(3x))
limit as x approaches 7-of ([x]-x)/(x-7)
\lim\:_{x\to\:7-}(\frac{[x]-x}{x-7})
limit as x approaches 0 of 5xcot(x)
\lim\:_{x\to\:0}(5x\cot(x))
limit as x approaches 3 of (x-1)/(6-2x)
\lim\:_{x\to\:3}(\frac{x-1}{6-2x})
limit as x approaches 2 of 3x^2-4x
\lim\:_{x\to\:2}(3x^{2}-4x)
limit as x approaches 8 of 2x*2x
\lim\:_{x\to\:8}(2x\cdot\:2x)
limit as x approaches 0+of 3tan(x)ln(x)
\lim\:_{x\to\:0+}(3\tan(x)\ln(x))
limit as x approaches 5 of x+10
\lim\:_{x\to\:5}(x+10)
limit as x approaches pi/4 of cos(x)
\lim\:_{x\to\:\frac{π}{4}}(\cos(x))
limit as x approaches 1+of ln(1/(x-1))
\lim\:_{x\to\:1+}(\ln(\frac{1}{x-1}))
limit as x approaches 2 of (3x+1)/(2-x)
\lim\:_{x\to\:2}(\frac{3x+1}{2-x})
limit as x approaches sqrt(2) of x
\lim\:_{x\to\:\sqrt{2}}(x)
limit as x approaches 0 of (1-sec(x))/(2x)
\lim\:_{x\to\:0}(\frac{1-\sec(x)}{2x})
limit as x approaches 1 of (|1-x|)/(x-1)
\lim\:_{x\to\:1}(\frac{\left|1-x\right|}{x-1})
limit as w approaches 0 of (cos(w)-cos(2w))/(sin^2(w))
\lim\:_{w\to\:0}(\frac{\cos(w)-\cos(2w)}{\sin^{2}(w)})
limit as x approaches 0+of x^2(ln(x^2))
\lim\:_{x\to\:0+}(x^{2}(\ln(x^{2})))
limit as x approaches 3 of tan((pix)/4)
\lim\:_{x\to\:3}(\tan(\frac{πx}{4}))
limit as x approaches 0 of x| 1/x |
\lim\:_{x\to\:0}(x\left|\frac{1}{x}\right|)
limit as x approaches 0 of tan(x)(ln(x))
\lim\:_{x\to\:0}(\tan(x)(\ln(x)))
limit as x approaches 0 of x^2(ln(x))^2
\lim\:_{x\to\:0}(x^{2}(\ln(x))^{2})
limit as x approaches 1 of 2-2/x
\lim\:_{x\to\:1}(2-\frac{2}{x})
limit as x approaches 0+of 5x^x
\lim\:_{x\to\:0+}(5x^{x})
limit as x approaches infinity of ((ax+b)^2)/((a-x)(b-x))
\lim\:_{x\to\:\infty\:}(\frac{(ax+b)^{2}}{(a-x)(b-x)})
limit as x approaches 0 of 3tan(x)ln(x)
\lim\:_{x\to\:0}(3\tan(x)\ln(x))
limit as x approaches 3-of (3-x)/(|x-3|)
\lim\:_{x\to\:3-}(\frac{3-x}{\left|x-3\right|})
limit as x approaches+0 of (tan(8x))/x
\lim\:_{x\to\:+0}(\frac{\tan(8x)}{x})
limit as x approaches 8 of 2x-8
\lim\:_{x\to\:8}(2x-8)
limit as x approaches 0 of 2(tan^2(x))/x
\lim\:_{x\to\:0}(2\frac{\tan^{2}(x)}{x})
limit as x approaches-2 of 5x^3+3x^2-6
\lim\:_{x\to\:-2}(5x^{3}+3x^{2}-6)
limit as x approaches 0 of (3^x-5^x)/x
\lim\:_{x\to\:0}(\frac{3^{x}-5^{x}}{x})
limit as x approaches 2 of 2x^2-4x+8
\lim\:_{x\to\:2}(2x^{2}-4x+8)
limit as x approaches 4-of-1/(x^2-16)
\lim\:_{x\to\:4-}(-\frac{1}{x^{2}-16})
limit as x approaches 0 of x+x/(x^2)
\lim\:_{x\to\:0}(x+\frac{x}{x^{2}})
limit as x approaches 0 of ((x-2))/(x^4)
\lim\:_{x\to\:0}(\frac{(x-2)}{x^{4}})
limit as x approaches 2 of ([x])/x
\lim\:_{x\to\:2}(\frac{[x]}{x})
limit as x approaches 1 of 3x^2+4x
\lim\:_{x\to\:1}(3x^{2}+4x)
limit as x approaches 0 of (e^{tx}-1)/x
\lim\:_{x\to\:0}(\frac{e^{tx}-1}{x})
limit as x approaches pi/2 of ((cot^2(x)))/(1-sin(x))
\lim\:_{x\to\:\frac{π}{2}}(\frac{(\cot^{2}(x))}{1-\sin(x)})
limit as x approaches c of e^x
\lim\:_{x\to\:c}(e^{x})
limit as x approaches+0 of coth(x)
\lim\:_{x\to\:+0}(\coth(x))
limit as x approaches 1 of 4x-ax+b-2
\lim\:_{x\to\:1}(4x-ax+b-2)
limit as x approaches 8 of 1/(x+8)
\lim\:_{x\to\:8}(\frac{1}{x+8})
limit as x approaches 0+of xln(sin(2x))
\lim\:_{x\to\:0+}(x\ln(\sin(2x)))
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