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Popular Calculus Problems

f(x)= 1/(x^8)	f(x)=\frac{1}{x^{8}}
derivative of ln(ln(15x))	\frac{d}{dx}(\ln(\ln(15x)))
derivative of tsin(pit)	derivative\:t\sin(πt)
integral from 3 to 4.5 of x/8	\int\:_{3}^{4.5}\frac{x}{8}dx
integral of (x^3)/(x^3+1)	\int\:\frac{x^{3}}{x^{3}+1}dx
integral of (4+sqrt(x))/(x^2)	\int\:\frac{4+\sqrt{x}}{x^{2}}dx
(dq)/(dt)=5-5q	\frac{dq}{dt}=5-5q
derivative of y=log_{2}(x)*log_{5}(x)	derivative\:y=\log_{2}(x)\cdot\:\log_{5}(x)
limit as x approaches 2-of 1/(x^2-4)	\lim\:_{x\to\:2-}(\frac{1}{x^{2}-4})
inverse oflaplace (e^{-4s})/((s+2)^3)	inverselaplace\:\frac{e^{-4s}}{(s+2)^{3}}
limit as x approaches 0+of (2x)/(x^2)	\lim\:_{x\to\:0+}(\frac{2x}{x^{2}})
derivative of (5-4x^2+x^5/(x^3))	\frac{d}{dx}(\frac{5-4x^{2}+x^{5}}{x^{3}})
integral of (36)/(36+e^x)	\int\:\frac{36}{36+e^{x}}dx
limit as x approaches 4 of (3x)/(x-4)	\lim\:_{x\to\:4}(\frac{3x}{x-4})
(\partial)/(\partial x)(e^{xy^2})	\frac{\partial\:}{\partial\:x}(e^{xy^{2}})
derivative of 6/(x+3)	\frac{d}{dx}(\frac{6}{x+3})
inverse oflaplace (10/6)/(s+6)	inverselaplace\:\frac{\frac{10}{6}}{s+6}
integral from 0 to 2pi of cos(θ)	\int\:_{0}^{2π}\cos(θ)dθ
(\partial}{\partial t}(\frac{s-2r)/t)	\frac{\partial\:}{\partial\:t}(\frac{s-2r}{t})
derivative of (y^3)/(27)+9/(4y)	derivative\:\frac{y^{3}}{27}+\frac{9}{4y}
integral of 1/((x+x^2))	\int\:\frac{1}{(x+x^{2})}dx
integral of sin(4x+3)	\int\:\sin(4x+3)dx
(dy)/(dx)+y=x+1	\frac{dy}{dx}+y=x+1
derivative of cos(sqrt(2x))	derivative\:\cos(\sqrt{2x})
y^'= y/x-1	y^{\prime\:}=\frac{y}{x}-1
integral of sin^2(x)*cos^2(x)	\int\:\sin^{2}(x)\cdot\:\cos^{2}(x)dx
integral of (sec^2(t))	\int\:(\sec^{2}(t))dt
derivative of f(x)=sin(tan(5x))	derivative\:f(x)=\sin(\tan(5x))
integral of 2sqrt(2x+7)	\int\:2\sqrt{2x+7}dx
integral of (xsqrt(x))	\int\:(x\sqrt{x})dx
derivative of f(x)=-24pisin(pix)	derivative\:f(x)=-24π\sin(πx)
derivative of y=x^2+4x^3	derivative\:y=x^{2}+4x^{3}
1/(y(1-0.0005y))dy=dx,y(0)=1	\frac{1}{y(1-0.0005y)}dy=dx,y(0)=1
derivative of 5/(cos(x))	\frac{d}{dx}(\frac{5}{\cos(x)})
integral of 10xln(2x)	\int\:10x\ln(2x)dx
integral of 4/(x+3)	\int\:\frac{4}{x+3}dx
f(x)=log_{3}(3x-6)	f(x)=\log_{3}(3x-6)
integral from 0 to 2 of 5t^9	\int\:_{0}^{2}5t^{9}dt
derivative of x^6e^{5x}	\frac{d}{dx}(x^{6}e^{5x})
limit as x approaches 0 of ((x^2))/(x-1)	\lim\:_{x\to\:0}(\frac{(x^{2})}{x-1})
tangent of y= 1/(x^3),(2, 1/8)	tangent\:y=\frac{1}{x^{3}},(2,\frac{1}{8})
derivative of 5+4x	\frac{d}{dx}(5+4x)
(\partial)/(\partial y)(cos(2x)sin(3y))	\frac{\partial\:}{\partial\:y}(\cos(2x)\sin(3y))
25y^{''}-40y^'+16y=0,y(4)=2,y^'(4)=2	25y^{\prime\:\prime\:}-40y^{\prime\:}+16y=0,y(4)=2,y^{\prime\:}(4)=2
derivative of tan(x-5)	\frac{d}{dx}(\tan(x-5))
integral of xg(x^2)	\int\:xg(x^{2})dx
integral of 1/(sqrt(5x+1))	\int\:\frac{1}{\sqrt{5x+1}}dx
integral of (8x^2-5x+1)/(x^2+x)	\int\:\frac{8x^{2}-5x+1}{x^{2}+x}dx
derivative of 6cos(x+6xsin(x))	\frac{d}{dx}(6\cos(x)+6x\sin(x))
limit as x approaches 4 of sqrt(4)+2	\lim\:_{x\to\:4}(\sqrt{4}+2)
integral from-1 to 3 of 1	\int\:_{-1}^{3}1dx
derivative of-9(3x^4-x^3+2x^5)	\frac{d}{dx}(-9(3x^{4}-x^{3}+2x)^{5})
normal of 5x^2+2xy-3y^2+3=0,(2,1)	normal\:5x^{2}+2xy-3y^{2}+3=0,(2,1)
integral of (4x)/(x^2+4)	\int\:\frac{4x}{x^{2}+4}dx
(\partial)/(\partial y)(2x-3y+5)	\frac{\partial\:}{\partial\:y}(2x-3y+5)
derivative of (x^2+2)(x^3+6)	derivative\:(x^{2}+2)(x^{3}+6)
integral of cos(x)e^{-sx}	\int\:\cos(x)e^{-sx}dx
(\partial)/(\partial x)(x^2+1+z^3)	\frac{\partial\:}{\partial\:x}(x^{2}+1+z^{3})
slope of (5/8 ,-2),(-1/4 ,-1/4)	slope\:(\frac{5}{8},-2),(-\frac{1}{4},-\frac{1}{4})
tangent of y^2-xy-10=0,(-3,-5)	tangent\:y^{2}-xy-10=0,(-3,-5)
y^{''}+6y=-294x^2e^{6x}	y^{\prime\:\prime\:}+6y=-294x^{2}e^{6x}
integral from 1 to e^5 of (ln(x))/(x^2)	\int\:_{1}^{e^{5}}\frac{\ln(x)}{x^{2}}dx
derivative of-4x^3	\frac{d}{dx}(-4x^{3})
x(dy)/(dx)+y=9xy^2,y(1)=2	x\frac{dy}{dx}+y=9xy^{2},y(1)=2
limit as x approaches 4-of (2x)/(x-4)	\lim\:_{x\to\:4-}(\frac{2x}{x-4})
tangent of f(x)=(7x)/(x-1),(2,14)	tangent\:f(x)=\frac{7x}{x-1},(2,14)
(\partial)/(\partial x)(sin(8x)cos(4y))	\frac{\partial\:}{\partial\:x}(\sin(8x)\cos(4y))
integral from 0 to 1 of x((2(x+1))/3)	\int\:_{0}^{1}x(\frac{2(x+1)}{3})dx
limit as x approaches-2-of sqrt(3x+6)-6	\lim\:_{x\to\:-2-}(\sqrt{3x+6}-6)
xy^'+y=e^x	xy^{\prime\:}+y=e^{x}
sum from n=2 to infinity of 1/(3^n)	\sum\:_{n=2}^{\infty\:}\frac{1}{3^{n}}
limit as x approaches 0-of (x+5)e^{1/x}	\lim\:_{x\to\:0-}((x+5)e^{\frac{1}{x}})
limit as x approaches-2 of x^2	\lim\:_{x\to\:-2}(x^{2})
derivative of pi^e+x^e	\frac{d}{dx}(π^{e}+x^{e})
derivative of e^{-1/x}	derivative\:e^{-\frac{1}{x}}
integral of 7x^5-5x^4+6x^2-14x+3	\int\:7x^{5}-5x^{4}+6x^{2}-14x+3dx
((x^2-9)/(x-3))^'	(\frac{x^{2}-9}{x-3})^{\prime\:}
area 5x-x^2,2x	area\:5x-x^{2},2x
integral of x(6+x^2)^{10}	\int\:x(6+x^{2})^{10}dx
integral of (x)arctan(x)	\int\:(x)\arctan(x)dx
derivative of 1/(8x-1)	\frac{d}{dx}(\frac{1}{8x-1})
integral of e^{5x+2}	\int\:e^{5x+2}dx
(\partial)/(\partial x)(cos^6(x^9y^3))	\frac{\partial\:}{\partial\:x}(\cos^{6}(x^{9}y^{3}))
integral of sqrt(9+16x^2)	\int\:\sqrt{9+16x^{2}}dx
(\partial)/(\partial x)((3x-2y)/(4x^2+y))	\frac{\partial\:}{\partial\:x}(\frac{3x-2y}{4x^{2}+y})
integral from 0 to ln(5) of e^x	\int\:_{0}^{\ln(5)}e^{x}dx
derivative of 34(4e^{x^2}x^3+6e^{x^2}x)	\frac{d}{dx}(34(4e^{x^{2}}x^{3}+6e^{x^{2}}x))
integral of sin(ln(4x))	\int\:\sin(\ln(4x))dx
derivative of e^{3x}cos(2x)	\frac{d}{dx}(e^{3x}\cos(2x))
integral of e(x)	\int\:e(x)dx
integral of (x-6)/(x^2+x-6)	\int\:\frac{x-6}{x^{2}+x-6}dx
d/(d{z)}(ln((cos({x}){y})^{{z}}))	\frac{d}{d{z}}(\ln((\cos({x}){y})^{{z}}))
integral of 8x^3(2x^4+4)4	\int\:8x^{3}(2x^{4}+4)4dx
7t(dy)/(dt)+y=sqrt(t)	7t\frac{dy}{dt}+y=\sqrt{t}
area x^2+2,2x+5,[-1,3]	area\:x^{2}+2,2x+5,[-1,3]
integral from 0 to 1 of 3sqrt(x)-3x	\int\:_{0}^{1}3\sqrt{x}-3xdx
(dy)/(dx)= 1/x (y^2+0.4y)	\frac{dy}{dx}=\frac{1}{x}(y^{2}+0.4y)
integral of (x^2-4x+7)/((x+1)(x^2-2x+3))	\int\:\frac{x^{2}-4x+7}{(x+1)(x^{2}-2x+3)}dx
tangent of y=5tan(x)	tangent\:y=5\tan(x)
t^2(dy)/(dt)+ty=4	t^{2}\frac{dy}{dt}+ty=4

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