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Popular Calculus Problems

integral of 1/(7x+2)	\int\:\frac{1}{7x+2}dx
derivative of-y^2x	\frac{d}{dx}(-y^{2}x)
integral of cos(2θ)	\int\:\cos(2θ)dθ
derivative of f(x)=3x^2+2ax+b	derivative\:f(x)=3x^{2}+2ax+b
y^{''}-2y^'+5y=5x+3	y^{\prime\:\prime\:}-2y^{\prime\:}+5y=5x+3
limit as x approaches 3 of (3-x)/(\|x-3\|)	\lim\:_{x\to\:3}(\frac{3-x}{\left\|x-3\right\|})
integral of (8x+1-9e^x)	\int\:(8x+1-9e^{x})dx
inverse oflaplace (e^{-s})/(s^2+3s+2)	inverselaplace\:\frac{e^{-s}}{s^{2}+3s+2}
integral of (e^{-x})/((9e^{-2x)+1)^{3/2}}	\int\:\frac{e^{-x}}{(9e^{-2x}+1)^{\frac{3}{2}}}dx
derivative of sqrt(1-x^2)	derivative\:\sqrt{1-x^{2}}
(\partial)/(\partial x)(x/(x^2+y^2)-y^2)	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{2}+y^{2}}-y^{2})
integral of sin(13x)	\int\:\sin(13x)dx
integral from 0 to 1 of ln(4x)	\int\:_{0}^{1}\ln(4x)dx
integral of-4/x	\int\:-\frac{4}{x}dx
tangent of (x-2)(x^2+4)	tangent\:(x-2)(x^{2}+4)
derivative of 6cos(x)	derivative\:6\cos(x)
derivative of-2/(9(1+x)^{5/3)}	derivative\:-\frac{2}{9(1+x)^{\frac{5}{3}}}
derivative of tan((pix/2))	\frac{d}{dx}(\tan(\frac{πx}{2}))
derivative of y=3+(12)/(2-x)	derivative\:y=3+\frac{12}{2-x}
derivative of 10x(x^2+7)^4	derivative\:10x(x^{2}+7)^{4}
derivative of ((x+4)/(x-4))^5	derivative\:(\frac{x+4}{x-4})^{5}
integral of 1/(2-x^2)	\int\:\frac{1}{2-x^{2}}dx
sum from n=4 to infinity of 8/(n^2-1)	\sum\:_{n=4}^{\infty\:}\frac{8}{n^{2}-1}
area 2x^2,2x+6,-1,0	area\:2x^{2},2x+6,-1,0
implicit xy+4y=10	implicit\:xy+4y=10
limit as x approaches 2 of (5x^3)/(x+3)	\lim\:_{x\to\:2}(\frac{5x^{3}}{x+3})
integral of (1/((x+1)^2))	\int\:(\frac{1}{(x+1)^{2}})dx
(\partial)/(\partial y)(xe^{yz})	\frac{\partial\:}{\partial\:y}(xe^{yz})
integral of 1/(4sec(y))	\int\:\frac{1}{4\sec(y)}dy
(dy}{dx}=\frac{xsqrt(x^2-1))/y	\frac{dy}{dx}=\frac{x\sqrt{x^{2}-1}}{y}
integral of (3p^2-2)^2e^{-4p}	\int\:(3p^{2}-2)^{2}e^{-4p}dp
derivative of 2x^2+2x+3	derivative\:2x^{2}+2x+3
derivative of (1+xe^x)	\frac{d}{dx}((1+x)e^{x})
(\partial}{\partial z}(ln(\frac{xy)/z))	\frac{\partial\:}{\partial\:z}(\ln(\frac{xy}{z}))
area y=x^2,x= y/2	area\:y=x^{2},x=\frac{y}{2}
derivative of f(x)=-5/(\sqrt[3]{x)}	derivative\:f(x)=-\frac{5}{\sqrt[3]{x}}
limit as t approaches 0 of 3e^{2t}	\lim\:_{t\to\:0}(3e^{2t})
integral of-2sin^2(x)	\int\:-2\sin^{2}(x)dx
(dy)/(dx)+2xy=4x	\frac{dy}{dx}+2xy=4x
integral of (10)/((25x^2+1)^2)	\int\:\frac{10}{(25x^{2}+1)^{2}}dx
integral from 1 to 5 of 7r^2ln(r)	\int\:_{1}^{5}7r^{2}\ln(r)dr
limit as x approaches-2 of 3/(x^2-4)	\lim\:_{x\to\:-2}(\frac{3}{x^{2}-4})
integral of (x-2)/(x^3)	\int\:\frac{x-2}{x^{3}}dx
derivative of ((-2x-1/(-4x+2))^5)	\frac{d}{dx}((\frac{-2x-1}{-4x+2})^{5})
integral from 2 to 4 of 2x^2-3x+1	\int\:_{2}^{4}2x^{2}-3x+1dx
(\partial)/(\partial x)(cos(xln(y)))	\frac{\partial\:}{\partial\:x}(\cos(x\ln(y)))
limit as x approaches+0+of (36-4x^2)/x	\lim\:_{x\to\:+0+}(\frac{36-4x^{2}}{x})
integral of 2xsqrt(2x-1)	\int\:2x\sqrt{2x-1}dx
derivative of 1/(6x^{5/6})	\frac{d}{dx}(\frac{1}{6x^{\frac{5}{6}}})
slope of (1,1),(4,-1/2)	slope\:(1,1),(4,-\frac{1}{2})
(\partial)/(\partial x)(r)	\frac{\partial\:}{\partial\:x}(r)
tangent of y=(-8x)/(x^2+1),(-1,4)	tangent\:y=\frac{-8x}{x^{2}+1},(-1,4)
derivative of x^2(240-x/3)	derivative\:x^{2}(240-\frac{x}{3})
tangent of 1/2 x^4-8	tangent\:\frac{1}{2}x^{4}-8
xy(dy)/(dx)+4x^2+y^2=0	xy\frac{dy}{dx}+4x^{2}+y^{2}=0
derivative of 5/(2x^2)	\frac{d}{dx}(\frac{5}{2x^{2}})
area x=y^2-4y,x=2y-y^2	area\:x=y^{2}-4y,x=2y-y^{2}
integral of 1/(t^2sqrt(400-t^2))	\int\:\frac{1}{t^{2}\sqrt{400-t^{2}}}dt
derivative of cos(arctan(3x))	\frac{d}{dx}(\cos(\arctan(3x)))
integral from 0 to 1/10 of xln(10x)	\int\:_{0}^{\frac{1}{10}}x\ln(10x)dx
limit as x approaches 0 of sqrt(2)	\lim\:_{x\to\:0}(\sqrt{2})
tangent of f(x)=3tan(x),\at x= pi/3	tangent\:f(x)=3\tan(x),\at\:x=\frac{π}{3}
integral from-infinity to 0 of x	\int\:_{-\infty\:}^{0}xdx
1/2*(dy)/(dx)=(2x)/(3y)	\frac{1}{2}\cdot\:\frac{dy}{dx}=\frac{2x}{3y}
(d^2)/(dx^2)(3e^{x^2})	\frac{d^{2}}{dx^{2}}(3e^{x^{2}})
integral of (x-1)e^{x^2-2x}	\int\:(x-1)e^{x^{2}-2x}dx
laplacetransform 1/2 t	laplacetransform\:\frac{1}{2}t
integral of (3-2x)^3	\int\:(3-2x)^{3}dx
(\partial)/(\partial x)(2x^2y+sin(x^3))	\frac{\partial\:}{\partial\:x}(2x^{2}y+\sin(x^{3}))
tangent of y=4e^x+x,(0,4)	tangent\:y=4e^{x}+x,(0,4)
integral from-pi to pi of xsin(nx)	\int\:_{-π}^{π}x\cdot\:\sin(n\cdot\:x)dx
integral of-sin(x)sec(x)tan(x)	\int\:-\sin(x)\sec(x)\tan(x)dx
integral of 4x^3-3/(x^4)	\int\:4x^{3}-\frac{3}{x^{4}}dx
derivative of sqrt(3-9x)	derivative\:\sqrt{3-9x}
derivative of 4x-3/x+1/(x^2)	\frac{d}{dx}(4x-\frac{3}{x}+\frac{1}{x^{2}})
integral of ln(x)(sqrt(1-(ln(x))^2))/x	\int\:\ln(x)\frac{\sqrt{1-(\ln(x))^{2}}}{x}dx
integral of 1/(sqrt(2x))cos(sqrt(2x))	\int\:\frac{1}{\sqrt{2x}}\cos(\sqrt{2x})dx
limit as x approaches 8-of (x-9)/(x-8)	\lim\:_{x\to\:8-}(\frac{x-9}{x-8})
area 3x,7x^2	area\:3x,7x^{2}
derivative of 3^{x^4-2x^2}	\frac{d}{dx}(3^{x^{4}-2x^{2}})
limit as x approaches 0 of (5x-3)^2	\lim\:_{x\to\:0}((5x-3)^{2})
inverse oflaplace ((2s+1))/((s+1)^2)	inverselaplace\:\frac{(2s+1)}{(s+1)^{2}}
xyy^'=y^2+xsqrt(4x^2+y^2)	xyy^{\prime\:}=y^{2}+x\sqrt{4x^{2}+y^{2}}
derivative of e^w	derivative\:e^{w}
tangent of x^3-2x^2-5x+6,\at x=2	tangent\:x^{3}-2x^{2}-5x+6,\at\:x=2
derivative of \sqrt[5]{3x}	\frac{d}{dx}(\sqrt[5]{3x})
integral of 8x^{-9}	\int\:8x^{-9}dx
integral of sin(2θ)	\int\:\sin(2θ)dθ
inverse oflaplace f(s)= 1/(s(s-3))	inverselaplace\:f(s)=\frac{1}{s(s-3)}
derivative of arccot(sqrt(2x))	\frac{d}{dx}(\arccot(\sqrt{2x}))
limit as x approaches 1+of (x+10)/(x+3)	\lim\:_{x\to\:1+}(\frac{x+10}{x+3})
derivative of (x^8-2x^4-10x)/(x^4)	derivative\:\frac{x^{8}-2x^{4}-10x}{x^{4}}
area 6ln(x),xln(x)	area\:6\ln(x),x\ln(x)
d/(dt)(-8sin(t))	\frac{d}{dt}(-8\sin(t))
derivative of-5/(x^4)	derivative\:-\frac{5}{x^{4}}
limit as x approaches-1 of x^2-3x	\lim\:_{x\to\:-1}(x^{2}-3x)
integral of (4x)/1	\int\:\frac{4x}{1}dx
(\partial)/(\partial z)(y+z)	\frac{\partial\:}{\partial\:z}(y+z)
derivative of f(x)=2x+sqrt(x)	derivative\:f(x)=2x+\sqrt{x}
derivative of sin(x^2+3x+1)	\frac{d}{dx}(\sin(x^{2}+3x+1))

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