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Popular Calculus Problems

derivative of-x/8	\frac{d}{dx}(-\frac{x}{8})
integral of (x^2)/(16-x^2)	\int\:\frac{x^{2}}{16-x^{2}}dx
integral of (((3x+2))/(sqrt(19-5x+x^2)))	\int\:(\frac{(3x+2)}{\sqrt{19-5x+x^{2}}})dx
integral of (12x^2)/(2x^3+1)	\int\:\frac{12x^{2}}{2x^{3}+1}dx
derivative of (8x+x^2)/((4+x)^2)	derivative\:\frac{8x+x^{2}}{(4+x)^{2}}
integral of x/(sqrt(4-5x^2))	\int\:\frac{x}{\sqrt{4-5x^{2}}}dx
derivative of f(x)= x/(x+5)	derivative\:f(x)=\frac{x}{x+5}
tangent of 6cos(x)	tangent\:6\cos(x)
y^{''}+16y=-32sec(4t)	y^{\prime\:\prime\:}+16y=-32\sec(4t)
integral of 3y^2-2x	\int\:3y^{2}-2xdy
derivative of ln(ln(2x^4))	\frac{d}{dx}(\ln(\ln(2x^{4})))
integral of (4x)/(x^4-12x^2+45)	\int\:\frac{4x}{x^{4}-12x^{2}+45}dx
tangent of f(x)=4x^2,\at x=1	tangent\:f(x)=4x^{2},\at\:x=1
(\partial)/(\partial x)(x^{9y})	\frac{\partial\:}{\partial\:x}(x^{9y})
(\partial)/(\partial u)(u*cos(v))	\frac{\partial\:}{\partial\:u}(u\cdot\:\cos(v))
derivative of f(x)=arccos(x)	derivative\:f(x)=\arccos(x)
implicit y=2sin(pix-y)	implicit\:y=2\sin(πx-y)
integral from 3 to-1 of x^3	\int\:_{3}^{-1}x^{3}dx
x^'+5x=6	x^{\prime\:}+5x=6
slope of y= 1/(x-2)	slope\:y=\frac{1}{x-2}
integral of sqrt(2cos(θ)+2)	\int\:\sqrt{2\cos(θ)+2}dθ
integral of 1/(49e^{-8x)+e^{8x}}	\int\:\frac{1}{49e^{-8x}+e^{8x}}dx
derivative of 2sin^2(pix)	\frac{d}{dx}(2\sin^{2}(πx))
(\partial)/(\partial x)(ln(x-3y))	\frac{\partial\:}{\partial\:x}(\ln(x-3y))
derivative of 1+cos(3pix)	\frac{d}{dx}(1+\cos(3πx))
integral of 1/(1+cos(u))	\int\:\frac{1}{1+\cos(u)}du
integral of ln(1+y^2)	\int\:\ln(1+y^{2})dy
integral of 2/(x+5)	\int\:\frac{2}{x+5}dx
integral of 1/(3x^2+6x+7)	\int\:\frac{1}{3x^{2}+6x+7}dx
integral of 3sqrt(x)ln(x)	\int\:3\sqrt{x}\ln(x)dx
derivative of sqrt(cos(4x))	\frac{d}{dx}(\sqrt{\cos(4x)})
integral of 2/(3x+5)	\int\:\frac{2}{3x+5}dx
integral from 1 to 8 of sqrt(t)ln(t)	\int\:_{1}^{8}\sqrt{t}\ln(t)dt
integral from 0 to 4 of x(0.5-0.125x)	\int\:_{0}^{4}x(0.5-0.125x)dx
y^{''}=2	y^{\prime\:\prime\:}=2
(\partial)/(\partial x)(K(x)^{1/3}L^{2/3})	\frac{\partial\:}{\partial\:x}(K(x)^{\frac{1}{3}}L^{\frac{2}{3}})
derivative of 5x^{-5}-6x^{-2}+13x^{-1}	\frac{d}{dx}(5x^{-5}-6x^{-2}+13x^{-1})
(d^2)/(dx^2)(x(2x+1)^4)	\frac{d^{2}}{dx^{2}}(x(2x+1)^{4})
integral from 0 to 6 of e^x	\int\:_{0}^{6}e^{x}dx
(y/x+9x)dx+(ln(x)-2)dy=0	(\frac{y}{x}+9x)dx+(\ln(x)-2)dy=0
integral of (x^nln(x))	\int\:(x^{n}\ln(x))dx
integral from-2 to 0 of 3wsqrt(4-w^2)	\int\:_{-2}^{0}3w\sqrt{4-w^{2}}dw
limit as t approaches 0 of (e^t-1)/t	\lim\:_{t\to\:0}(\frac{e^{t}-1}{t})
derivative of f(x)=(x/7+7/x)^7	derivative\:f(x)=(\frac{x}{7}+\frac{7}{x})^{7}
(d^4)/(dx^4)(ln(1-x))	\frac{d^{4}}{dx^{4}}(\ln(1-x))
integral from 1 to 2 of 5/(8x^6)	\int\:_{1}^{2}\frac{5}{8x^{6}}dx
sum from n=2 to infinity of 1/(n-1)	\sum\:_{n=2}^{\infty\:}\frac{1}{n-1}
xy^'+y=3x+5x	xy^{\prime\:}+y=3x+5x
area y=-0,7248x2-0,2682x+0,6271	area\:y=-0,7248x2-0,2682x+0,6271
derivative of (5^x)/(cos(x))	derivative\:\frac{5^{x}}{\cos(x)}
(\partial)/(\partial u)(sqrt(uv))	\frac{\partial\:}{\partial\:u}(\sqrt{uv})
(dy)/(dx)=(-0.1)/(cos(y))	\frac{dy}{dx}=\frac{-0.1}{\cos(y)}
area y=x^{(3)},y=x^{(6)}	area\:y=x^{(3)},y=x^{(6)}
derivative of g(x)=5e^xsqrt(x)	derivative\:g(x)=5e^{x}\sqrt{x}
sum from n=0 to infinity of (x-1)^n	\sum\:_{n=0}^{\infty\:}(x-1)^{n}
limit as x approaches 0 of (x-3)/(x-3)	\lim\:_{x\to\:0}(\frac{x-3}{x-3})
derivative of ln((x^2-x^{13}))	\frac{d}{dx}(\ln((x^{2}-x)^{13}))
derivative of (x^2+2x-5/((x+1)^2))	\frac{d}{dx}(\frac{x^{2}+2x-5}{(x+1)^{2}})
integral from 0 to 2 of 2xe^{x^2}	\int\:_{0}^{2}2xe^{x^{2}}dx
integral of 3/(sqrt(x))+3sqrt(x)	\int\:\frac{3}{\sqrt{x}}+3\sqrt{x}dx
(\partial)/(\partial t)(te^t)	\frac{\partial\:}{\partial\:t}(te^{t})
area x=4y,x=y^2-12	area\:x=4y,x=y^{2}-12
derivative of 3x^{-4}	derivative\:3x^{-4}
derivative of ab\sqrt[5]{x^3}	\frac{d}{dx}(ab\sqrt[5]{x^{3}})
(\partial)/(\partial x)(xe^{sqrt(2xy)})	\frac{\partial\:}{\partial\:x}(xe^{\sqrt{2xy}})
derivative of ln((x+1^2)-e^{x^2})	\frac{d}{dx}(\ln((x+1)^{2})-e^{x^{2}})
integral of x/(sqrt(1-2x^2))	\int\:\frac{x}{\sqrt{1-2x^{2}}}dx
derivative of e^{xx}-e^x	\frac{d}{dx}(e^{xx}-e^{x})
derivative of f(x)= 1/(x^6)+1/(x^8)	derivative\:f(x)=\frac{1}{x^{6}}+\frac{1}{x^{8}}
integral from-1 to 6 of (x+3)^3	\int\:_{-1}^{6}(x+3)^{3}dx
area sin(x),cos(x),[ pi/4 ,(5pi)/4 ]	area\:\sin(x),\cos(x),[\frac{π}{4},\frac{5π}{4}]
x^2y^{''}-3xy^'+13y=0	x^{2}y^{\prime\:\prime\:}-3xy^{\prime\:}+13y=0
integral of arccot(9y)	\int\:\arccot(9y)dy
integral of (12x^5)/(3+2x^6)	\int\:\frac{12x^{5}}{3+2x^{6}}dx
derivative of sin^4(2x)	\frac{d}{dx}(\sin^{4}(2x))
derivative of ((x+1(2x-7))/(2x+1))	\frac{d}{dx}(\frac{(x+1)(2x-7)}{2x+1})
limit as b approaches infinity of e^b	\lim\:_{b\to\:\infty\:}(e^{b})
inverse oflaplace (s*e^{-3s})/(s^2+25)	inverselaplace\:\frac{s\cdot\:e^{-3s}}{s^{2}+25}
y^{''}-10y^'+74y=0	y^{\prime\:\prime\:}-10y^{\prime\:}+74y=0
derivative of (e^{8x})/x	derivative\:\frac{e^{8x}}{x}
sum from n=1 to infinity of 3(1/3)^{n-1}	\sum\:_{n=1}^{\infty\:}3(\frac{1}{3})^{n-1}
(d^3)/(dx^3)(x^4)	\frac{d^{3}}{dx^{3}}(x^{4})
(\partial)/(\partial x)(x^4ey^z)	\frac{\partial\:}{\partial\:x}(x^{4}ey^{z})
derivative of ((4x^2-1/2 x)/((9x+8)))	\frac{d}{dx}(\frac{(4x^{2}-\frac{1}{2}x)}{(9x+8)})
derivative of sqrt(1.8x+2.5)	\frac{d}{dx}(\sqrt{1.8x+2.5})
integral of (5x+1)/((2x+1)(x-1))	\int\:\frac{5x+1}{(2x+1)(x-1)}dx
integral of (x^3)/((x^2+1)^3)	\int\:\frac{x^{3}}{(x^{2}+1)^{3}}dx
integral of 1/(sqrt(1-z^2))	\int\:\frac{1}{\sqrt{1-z^{2}}}dz
limit as x approaches 1+of e^{ln(ln(x))}	\lim\:_{x\to\:1+}(e^{\ln(\ln(x))})
derivative of e^{-y}	derivative\:e^{-y}
integral from 1 to 5 of 6/(x^2)	\int\:_{1}^{5}\frac{6}{x^{2}}dx
(\partial)/(\partial x)(5sqrt(2x))	\frac{\partial\:}{\partial\:x}(5\sqrt{2x})
integral of (7ln(x))/(x^4)	\int\:\frac{7\ln(x)}{x^{4}}dx
sum from n=1 to infinity of n^2e^{-n^2}	\sum\:_{n=1}^{\infty\:}n^{2}e^{-n^{2}}
integral of (3x^2)/(sqrt(1-x^2))	\int\:\frac{3x^{2}}{\sqrt{1-x^{2}}}dx
integral of 1/(p-z)+1/z	\int\:\frac{1}{p-z}+\frac{1}{z}dz
integral of 4(x-1)	\int\:4(x-1)dx
derivative of (x^6)/(2-x^5)	derivative\:\frac{x^{6}}{2-x^{5}}
derivative of f(x)= 5/4 x^{4/3}	derivative\:f(x)=\frac{5}{4}x^{\frac{4}{3}}
limit as x approaches 6-of (-6)/(x+6)	\lim\:_{x\to\:6-}(\frac{-6}{x+6})

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