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Popular Calculus Problems
derivative of sin(8x)
derivative\:\sin(8x)
integral from 0 to 5 of 1/(x^{13/14)}
\int\:_{0}^{5}\frac{1}{x^{\frac{13}{14}}}dx
y^{''}+2y^'-2y=0
y^{\prime\:\prime\:}+2y^{\prime\:}-2y=0
derivative of ln(xsqrt(x^2-3))
\frac{d}{dx}(\ln(x\sqrt{x^{2}-3}))
derivative of x(30-2x)^2
derivative\:x(30-2x)^{2}
derivative of (2x+3/(x+1))
\frac{d}{dx}(\frac{2x+3}{x+1})
derivative of (3x^6+8x^3)^4
derivative\:(3x^{6}+8x^{3})^{4}
integral from-1 to-0.2588 of e^{-ipi^2ws}
\int\:_{-1}^{-0.2588}e^{-iπ^{2}ws}dw
sum from k=2 to infinity of k^k
\sum\:_{k=2}^{\infty\:}k^{k}
area 7xe^{-x^2},y=0,0<= x<= 1
area\:7xe^{-x^{2}},y=0,0\le\:x\le\:1
derivative of ln(sqrt(2x-1))
derivative\:\ln(\sqrt{2x-1})
(dy)/(dx)+4y=e^{-x}
\frac{dy}{dx}+4y=e^{-x}
sum from n=1 to infinity of n/(e^{2n)}
\sum\:_{n=1}^{\infty\:}\frac{n}{e^{2n}}
integral of 1/x x)
\int\:\frac{1}{x}d(x)dx
y^'=((x+y+1))/((-x+2y+3))
y^{\prime\:}=\frac{(x+y+1)}{(-x+2y+3)}
(\partial)/(\partial y)(50y+3250-100x)
\frac{\partial\:}{\partial\:y}(50y+3250-100x)
integral of e^v
\int\:e^{v}dv
(\partial)/(\partial z)(5xye^{xz})
\frac{\partial\:}{\partial\:z}(5xye^{xz})
integral of (x/(e^x))
\int\:(\frac{x}{e^{x}})dx
limit as x approaches 2+of xsqrt(x^2-4)
\lim\:_{x\to\:2+}(x\sqrt{x^{2}-4})
integral of 1/(2x-5)
\int\:\frac{1}{2x-5}dx
limit as x approaches 4 of 4x-7yx+5y
\lim\:_{x\to\:4}(4x-7yx+5y)
integral of (3x-6)^{23}
\int\:(3x-6)^{23}dx
derivative of sin(3t)
derivative\:\sin(3t)
integral of u^{-1/3}
\int\:u^{-\frac{1}{3}}du
derivative of xsqrt(x-1)
\frac{d}{dx}(x\sqrt{x-1})
derivative of y= x/((x-2)^2)
derivative\:y=\frac{x}{(x-2)^{2}}
derivative of (x^2+1*(x+5+1/x))
\frac{d}{dx}((x^{2}+1)\cdot\:(x+5+\frac{1}{x}))
derivative of 3sin(x+1)
\frac{d}{dx}(3\sin(x)+1)
(dy)/(dx)=e^{5x+4y}
\frac{dy}{dx}=e^{5x+4y}
integral from 2 to infinity of 9/(2x^2)
\int\:_{2}^{\infty\:}\frac{9}{2x^{2}}dx
integral of 5xcos(x)
\int\:5x\cos(x)dx
inverse oflaplace ((s+2))/((s^2+3s+1))
inverselaplace\:\frac{(s+2)}{(s^{2}+3s+1)}
integral of (5x^3)/((5-3x^4)^8)
\int\:\frac{5x^{3}}{(5-3x^{4})^{8}}dx
(\partial)/(\partial x)(sin(sqrt(x^2+y^2)))
\frac{\partial\:}{\partial\:x}(\sin(\sqrt{x^{2}+y^{2}}))
limit as x approaches 2+of 3+|2x-4|
\lim\:_{x\to\:2+}(3+\left|2x-4\right|)
d/(dy)(cos(x)-y)
\frac{d}{dy}(\cos(x)-y)
(cot(y)+x^2)dx=xcsc^2(y)dy
(\cot(y)+x^{2})dx=x\csc^{2}(y)dy
taylor 1/(x-2)
taylor\:\frac{1}{x-2}
derivative of 9e^{3x}
derivative\:9e^{3x}
integral of (x+2)^2sin(x)
\int\:(x+2)^{2}\sin(x)dx
derivative of |x^3-x|
\frac{d}{dx}(\left|x^{3}-x\right|)
integral of 1/5-2/x
\int\:\frac{1}{5}-\frac{2}{x}dx
(dy)/(dx)=xsqrt(x-18)
\frac{dy}{dx}=x\sqrt{x-18}
laplacetransform-3tsin(2t)
laplacetransform\:-3t\sin(2t)
derivative of f(x)=4x^2+2x-3
derivative\:f(x)=4x^{2}+2x-3
integral of (cos(2y)-3x^2y^2)
\int\:(\cos(2y)-3x^{2}y^{2})dx
derivative of 1/(2sqrt(3x-1))
\frac{d}{dx}(\frac{1}{2\sqrt{3x-1}})
tangent of f(x)=8(x-1/x)^4,\at x=2
tangent\:f(x)=8(x-\frac{1}{x})^{4},\at\:x=2
deg2rad (sin(x'))^'
deg2rad\:(\sin(x\prime\:))^{\prime\:}
derivative of x-sqrt(2+((x+1)^2)/2)
derivative\:x-\sqrt{2+\frac{(x+1)^{2}}{2}}
integral from 0 to 1 of pi(y-y^2)
\int\:_{0}^{1}π(y-y^{2})dy
derivative of \sqrt[3]{t^2}+4sqrt(t^5)
derivative\:\sqrt[3]{t^{2}}+4\sqrt{t^{5}}
(\partial)/(\partial x)(xe^z)
\frac{\partial\:}{\partial\:x}(xe^{z})
integral of e^{it}
\int\:e^{it}dt
limit as x approaches infinity of 7/x-1
\lim\:_{x\to\:\infty\:}(\frac{7}{x}-1)
y^{''}+5y^'+4y=sin(t)
y^{\prime\:\prime\:}+5y^{\prime\:}+4y=\sin(t)
derivative of (x/(1+x)^5)
\frac{d}{dx}((\frac{x}{1+x})^{5})
derivative of-3t(2t^4-1)^7
derivative\:-3t(2t^{4}-1)^{7}
derivative of f(x)=ln(8-9x)
derivative\:f(x)=\ln(8-9x)
area 7x^2,sqrt(1/7 x)
area\:7x^{2},\sqrt{\frac{1}{7}x}
integral of (3x)/(x^2+4)
\int\:\frac{3x}{x^{2}+4}dx
(\partial)/(\partial x)(4xy+x^4+y^4)
\frac{\partial\:}{\partial\:x}(4xy+x^{4}+y^{4})
derivative of sqrt(y-x)
\frac{d}{dx}(\sqrt{y-x})
limit as x approaches 1 of (x^2)/(x^3-x)
\lim\:_{x\to\:1}(\frac{x^{2}}{x^{3}-x})
derivative of cos(xtan(x))
\frac{d}{dx}(\cos(x)\tan(x))
tangent of f(x)= x/(1+x^2),(2, 2/5)
tangent\:f(x)=\frac{x}{1+x^{2}},(2,\frac{2}{5})
derivative of 1/6 y^3+1/(2y)
derivative\:\frac{1}{6}y^{3}+\frac{1}{2y}
sum from n=1 to infinity of n/(4n+1)
\sum\:_{n=1}^{\infty\:}\frac{n}{4n+1}
(\partial)/(\partial y)(x^3-y^3+6xy)
\frac{\partial\:}{\partial\:y}(x^{3}-y^{3}+6xy)
derivative of xy^2-x^3y=0
\frac{d}{dx}(xy^{2}-x^{3}y)=0
slope of (-21.2,22.8),(-20.2,7.4)
slope\:(-21.2,22.8),(-20.2,7.4)
sum from n=1 to infinity of 5/(pi^n)
\sum\:_{n=1}^{\infty\:}\frac{5}{π^{n}}
integral of ((x+4))/(x^2+11x+18)
\int\:\frac{(x+4)}{x^{2}+11x+18}dx
derivative of xcos(x^2+1-ln(3-x))
\frac{d}{dx}(x\cos(x^{2}+1)-\ln(3-x))
integral of (2arctan(n))/(1+n^2)
\int\:\frac{2\arctan(n)}{1+n^{2}}dn
integral from 6 to 7 of x/(x^2+4x+20)
\int\:_{6}^{7}\frac{x}{x^{2}+4x+20}dx
integral of (x^3)/(sqrt(x^2+\sqrt{2))}
\int\:\frac{x^{3}}{\sqrt{x^{2}+\sqrt{2}}}dx
integral of (cos(ax))/(1-sin(ax))
\int\:\frac{\cos(ax)}{1-\sin(ax)}dx
sum from n=1 to infinity of (x^n)/(4n-1)
\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{4n-1}
derivative of y=e^{(4x+3)}
derivative\:y=e^{(4x+3)}
tangent of (|x|)/(sqrt(2-x^2))
tangent\:\frac{\left|x\right|}{\sqrt{2-x^{2}}}
(1+x^2)y^'+2xy= 1/((1+x^2)y)
(1+x^{2})y^{\prime\:}+2xy=\frac{1}{(1+x^{2})y}
y^'-y=0
y^{\prime\:}-y=0
(\partial)/(\partial x)(3x^2y-y^3)
\frac{\partial\:}{\partial\:x}(3x^{2}y-y^{3})
derivative of 2cos(t)
derivative\:2\cos(t)
integral of sin^2(x)-sin^4(x)
\int\:\sin^{2}(x)-\sin^{4}(x)dx
derivative of (xsin^2(x)/(e^x-1))
\frac{d}{dx}(\frac{x\sin^{2}(x)}{e^{x}-1})
limit as x approaches-1 of (x+1)/(x+1)
\lim\:_{x\to\:-1}(\frac{x+1}{x+1})
integral of 3sin(x)-2cos(x)
\int\:3\sin(x)-2\cos(x)dx
derivative of y=70x^{-4}
derivative\:y=70x^{-4}
integral from 0 to 1 of sin^2(x)
\int\:_{0}^{1}\sin^{2}(x)dx
derivative of x+h
\frac{d}{dx}(x+h)
tangent of y=(sqrt(x))/(x+1)
tangent\:y=\frac{\sqrt{x}}{x+1}
limit as x approaches 0 of (x^2)/(x-2)
\lim\:_{x\to\:0}(\frac{x^{2}}{x-2})
derivative of sin(xe^x)
\frac{d}{dx}(\sin(x)e^{x})
integral of 1/(2x(x-1))
\int\:\frac{1}{2x(x-1)}dx
derivative of 5x^3
derivative\:5x^{3}
integral of xsin^2(3x)
\int\:x\sin^{2}(3x)dx
integral of 3t
\int\:3tdt
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