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Popular Calculus Problems

derivative of e^x*x^2	\frac{d}{dx}(e^{x}\cdot\:x^{2})
integral from 2 to infinity of e^{-2p}	\int\:_{2}^{\infty\:}e^{-2p}dp
integral of (x^2+2)/(x-1)	\int\:\frac{x^{2}+2}{x-1}dx
integral of (x^{3/2}+4x+4)	\int\:(x^{\frac{3}{2}}+4x+4)dx
derivative of-(64/((1+8x)^2))	\frac{d}{dx}(-\frac{64}{(1+8x)^{2}})
tangent of f(x)=5tan(x),\at x= pi/3	tangent\:f(x)=5\tan(x),\at\:x=\frac{π}{3}
integral of (x+1)/(x-3)	\int\:\frac{x+1}{x-3}dx
(dy)/(dx)=e^{(x-y)}	\frac{dy}{dx}=e^{(x-y)}
derivative of f(x)=cos^2(2x)	derivative\:f(x)=\cos^{2}(2x)
limit as x approaches-1-of 4-x	\lim\:_{x\to\:-1-}(4-x)
limit as x approaches pi of 7cot(x)	\lim\:_{x\to\:π}(7\cot(x))
d/(dt)(e^{-t}(3cos(t/2)+2sin(t/2)))	\frac{d}{dt}(e^{-t}(3\cos(\frac{t}{2})+2\sin(\frac{t}{2})))
(dy)/(dx)=-1/4 e^xy^{-2}	\frac{dy}{dx}=-\frac{1}{4}e^{x}y^{-2}
integral from-1 to 1 of y^2-2-e^y	\int\:_{-1}^{1}y^{2}-2-e^{y}dy
derivative of x^3(2x+1^3)	\frac{d}{dx}(x^{3}(2x+1)^{3})
limit as x approaches 1 of (x+1)/(x^2-1)	\lim\:_{x\to\:1}(\frac{x+1}{x^{2}-1})
integral from 0 to (3pi)/2 of 6\|sin(x)\|	\int\:_{0}^{\frac{3π}{2}}6\left\|\sin(x)\right\|dx
integral of cos^7(1/3)x	\int\:\cos^{7}(\frac{1}{3})xdx
integral of 12x^2-6x	\int\:12x^{2}-6xdx
(\partial)/(\partial x)(2sqrt(xy)-ye^{y/z})	\frac{\partial\:}{\partial\:x}(2\sqrt{xy}-ye^{\frac{y}{z}})
integral of sqrt(1+1/(x^{2/3))}	\int\:\sqrt{1+\frac{1}{x^{\frac{2}{3}}}}dx
limit as x approaches 1 of 5x^2+1	\lim\:_{x\to\:1}(5x^{2}+1)
tangent of y=x^2+4x+9,\at x=8	tangent\:y=x^{2}+4x+9,\at\:x=8
derivative of sqrt(x^2-4)	\frac{d}{dx}(\sqrt{x^{2}-4})
integral from 0 to 1 of 2e^x	\int\:_{0}^{1}2e^{x}dx
limit as x approaches 0-of 2/x	\lim\:_{x\to\:0-}(\frac{2}{x})
x^'=x-2	x^{\prime\:}=x-2
(dy)/(dt)= 1/((2y+1))	\frac{dy}{dt}=\frac{1}{(2y+1)}
laplacetransform 3e^{-2t}+2sin(3t)	laplacetransform\:3\cdot\:e^{-2t}+2\cdot\:\sin(3t)
integral from-16 to 0 of 1/(sqrt(9-x))	\int\:_{-16}^{0}\frac{1}{\sqrt{9-x}}dx
integral of cos(2x)	\int\:\cos(2x)dx
limit as x approaches 0 of (x-15)/(x-5)	\lim\:_{x\to\:0}(\frac{x-15}{x-5})
integral of (4x^5-16x^4+8x^3)/(4x^2)	\int\:\frac{4x^{5}-16x^{4}+8x^{3}}{4x^{2}}dx
derivative of f(x)= 4/5 x^{10}	derivative\:f(x)=\frac{4}{5}x^{10}
integral of (-7x+4)/(x^3)	\int\:\frac{-7x+4}{x^{3}}dx
tangent of 2x^3+6x^2-90x-6	tangent\:2x^{3}+6x^{2}-90x-6
integral of 4sin(x)	\int\:4\sin(x)dx
derivative of x*sqrt(1-x^2)	derivative\:x\cdot\:\sqrt{1-x^{2}}
limit as h approaches 0 of ((2(3+h)^4-162))/h	\lim\:_{h\to\:0}(\frac{(2(3+h)^{4}-162)}{h})
derivative of 3ln(7x)	\frac{d}{dx}(3\ln(7x))
integral of-e^{3t}	\int\:-e^{3t}dt
derivative of 6x-tan(6x)	\frac{d}{dx}(6x-\tan(6x))
laplacetransform e^{4t}cos(2t)	laplacetransform\:e^{4t}\cos(2t)
(dy)/(dx)=5xe^y	\frac{dy}{dx}=5xe^{y}
integral of sin(15x)	\int\:\sin(15x)dx
limit as x approaches (3pi)/2-of tan(x)	\lim\:_{x\to\:\frac{3π}{2}-}(\tan(x))
derivative of (x^2+2x-7)/((x+1)^2)	derivative\:\frac{x^{2}+2x-7}{(x+1)^{2}}
integral of (((ln(x))^2)/(x^2))	\int\:(\frac{(\ln(x))^{2}}{x^{2}})dx
sum from n=0 to infinity of 3(1/5)^n	\sum\:_{n=0}^{\infty\:}3(\frac{1}{5})^{n}
(\partial)/(\partial x)(z/(x+4y))	\frac{\partial\:}{\partial\:x}(\frac{z}{x+4y})
(\partial)/(\partial x)(xy+z^3x)	\frac{\partial\:}{\partial\:x}(xy+z^{3}x)
integral of e^z	\int\:e^{z}
integral of (2x^2)	\int\:(2x^{2})dx
limit as x approaches 0 of (sin^2(3x))/x	\lim\:_{x\to\:0}(\frac{\sin^{2}(3x)}{x})
(\partial)/(\partial x)(y^2-x^3-2x)	\frac{\partial\:}{\partial\:x}(y^{2}-x^{3}-2x)
derivative of y=((x+8))/((x-5))	derivative\:y=\frac{(x+8)}{(x-5)}
taylor (x^2-1)cos(3x)	taylor\:(x^{2}-1)\cos(3x)
limit as x approaches-7+of-(8x)/(x+7)	\lim\:_{x\to\:-7+}(-\frac{8x}{x+7})
derivative of (3x^2/2)	\frac{d}{dx}(\frac{3x^{2}}{2})
derivative of-0.7x^2	derivative\:-0.7x^{2}
tangent of y=6sqrt(x)(9.18)	tangent\:y=6\sqrt{x}(9.18)
derivative of (2x^5+x^2-5/(x^2))	\frac{d}{dx}(\frac{2x^{5}+x^{2}-5}{x^{2}})
limit as x approaches infinity of 2x^2-3x	\lim\:_{x\to\:\infty\:}(2x^{2}-3x)
derivative of axcos(x)	\frac{d}{dx}(ax\cos(x))
integral of sin^5(1)	\int\:\sin^{5}(1)dx
slope ofintercept (-9,7),(-6,-3)	slopeintercept\:(-9,7),(-6,-3)
derivative of (5x+2)(x^3+4x)	derivative\:(5x+2)(x^{3}+4x)
derivative of 12x^2-24x	derivative\:12x^{2}-24x
integral of sqrt(9-r^2)r	\int\:\sqrt{9-r^{2}}rdr
integral of ((sqrt(a)-sqrt(b))^4)/(sqrt(ax))	\int\:\frac{(\sqrt{a}-\sqrt{b})^{4}}{\sqrt{ax}}dx
(dy)/(dx)=4sqrt(yx)	\frac{dy}{dx}=4\sqrt{yx}
tangent of f(x)=8x^2+4,\at x=-7	tangent\:f(x)=8x^{2}+4,\at\:x=-7
derivative of x^3+3x^2+6x	\frac{d}{dx}(x^{3}+3x^{2}+6x)
derivative of y=ln((cos(x))/(cos(x)-1))	derivative\:y=\ln(\frac{\cos(x)}{\cos(x)-1})
integral of 3x^9e^{-x^5}	\int\:3x^{9}e^{-x^{5}}dx
integral of (x^2)/(x-8)	\int\:\frac{x^{2}}{x-8}dx
integral from-infinity to 0 of 1/(x^2)	\int\:_{-\infty\:}^{0}\frac{1}{x^{2}}dx
e^{-y}(1+(dy)/(dx))=1	e^{-y}(1+\frac{dy}{dx})=1
integral of (t-1)e^{-st}	\int\:(t-1)e^{-st}dt
-y=xy^'	-y=xy^{\prime\:}
xy^'+(x+1)y=6	xy^{\prime\:}+(x+1)y=6
((dy)/(dx))^2+2e^x((dy)/(dx))+e^{2x}=0	(\frac{dy}{dx})^{2}+2e^{x}(\frac{dy}{dx})+e^{2x}=0
(\partial)/(\partial x)(2xye^{xy^2})	\frac{\partial\:}{\partial\:x}(2xye^{xy^{2}})
integral of 1/(-1)	\int\:\frac{1}{-1}dx
limit as x approaches infinity of 2+2	\lim\:_{x\to\:\infty\:}(2+2)
sum from n=0 to infinity of 2^nx^n	\sum\:_{n=0}^{\infty\:}2^{n}x^{n}
f(x)=ln(sinh(x))	f(x)=\ln(\sinh(x))
sum from n=0 to infinity of 8(3/4)^n	\sum\:_{n=0}^{\infty\:}8(\frac{3}{4})^{n}
(dy)/(dx)=sqrt(4y)e^{x+7}	\frac{dy}{dx}=\sqrt{4y}e^{x+7}
integral of (x+3)(x^2+6x-7)^6	\int\:(x+3)(x^{2}+6x-7)^{6}dx
y^'=y(xy^5+4)	y^{\prime\:}=y(xy^{5}+4)
derivative of (x^3+7)^{2/3}	derivative\:(x^{3}+7)^{\frac{2}{3}}
tangent of f(x)=-3x^2-3x+2,\at x=1	tangent\:f(x)=-3x^{2}-3x+2,\at\:x=1
derivative of f(x)=3x^2+e^{2x}+pi^2	derivative\:f(x)=3x^{2}+e^{2x}+π^{2}
derivative of 16-x^2	\frac{d}{dx}(16-x^{2})
derivative of (x^2/((x-2)^2))	\frac{d}{dx}(\frac{x^{2}}{(x-2)^{2}})
derivative of 7x\sqrt[3]{x}	derivative\:7x\sqrt[3]{x}
integral of (x^4)/(16)	\int\:\frac{x^{4}}{16}dx
limit as x approaches 0-of 4/x-4/(\|x\|)	\lim\:_{x\to\:0-}(\frac{4}{x}-\frac{4}{\left\|x\right\|})
integral of x(x^3+1)	\int\:x(x^{3}+1)dx

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