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Popular Calculus Problems

derivative of 10(4e^{x^2}x^3+6e^{x^2}x)	derivative\:10(4e^{x^{2}}x^{3}+6e^{x^{2}}x)
limit as x approaches 0 of log_{10}(x)	\lim\:_{x\to\:0}(\log_{10}(x))
integral of 1/(x^2sqrt(x^2+16))	\int\:\frac{1}{x^{2}\sqrt{x^{2}+16}}dx
y^{''}-2y+1=0	y^{\prime\:\prime\:}-2y+1=0
derivative of sqrt(x^2-11y^2),yas	derivative\:\sqrt{x^{2}-11y^{2}},yas
derivative of (3-5x)^9	derivative\:(3-5x)^{9}
integral of e^{(3x)/2}	\int\:e^{\frac{3x}{2}}dx
derivative of \sqrt[3]{5x^2-3x+2}	\frac{d}{dx}(\sqrt[3]{5x^{2}-3x+2})
sum from n=1 to infinity of (n+2)/(3n+4)	\sum\:_{n=1}^{\infty\:}\frac{n+2}{3n+4}
integral of e^{-knx}+e^{-ln(x)}	\int\:e^{-knx}+e^{-\ln(x)}dx
integral of (x^3)/(x^2-49)	\int\:\frac{x^{3}}{x^{2}-49}dx
9y^{''}+30y^'+25y=0	9y^{\prime\:\prime\:}+30y^{\prime\:}+25y=0
integral of 6xsec^2(2x)	\int\:6x\sec^{2}(2x)dx
sum from n=0 to infinity of 3-7(0.6)^n	\sum\:_{n=0}^{\infty\:}3-7(0.6)^{n}
derivative of 4/(\sqrt[3]{x)}	derivative\:\frac{4}{\sqrt[3]{x}}
integral of 1/(1+e^z)	\int\:\frac{1}{1+e^{z}}dz
area x+y^2=6,x+y=0	area\:x+y^{2}=6,x+y=0
derivative of y=(x^6-7x+4)(x^4-5x)	derivative\:y=(x^{6}-7x+4)(x^{4}-5x)
derivative of f(x)=x^2+4	derivative\:f(x)=x^{2}+4
(y/x+3x)dx+(ln(x)-2)dy=0	(\frac{y}{x}+3x)dx+(\ln(x)-2)dy=0
integral of (x^2-2x)/(x^3-3x^2)	\int\:\frac{x^{2}-2x}{x^{3}-3x^{2}}dx
derivative of-3t(6t^3-1)^8	derivative\:-3t(6t^{3}-1)^{8}
integral from 0 to pi of xsin(x)	\int\:_{0}^{π}x\sin(x)dx
derivative of (-2x^2-2x+3^5)	\frac{d}{dx}((-2x^{2}-2x+3)^{5})
integral of cos(x)sin(x)sqrt(cos^2(x)+1)	\int\:\cos(x)\sin(x)\sqrt{\cos^{2}(x)+1}dx
integral from 0 to x of e^{x^2}x	\int\:_{0}^{x}e^{x^{2}}xdx
(\partial)/(\partial x)((8y)/(x^5))	\frac{\partial\:}{\partial\:x}(\frac{8y}{x^{5}})
f(x)= 1/(2x+1)	f(x)=\frac{1}{2x+1}
(\partial)/(\partial x)((6xy^2)/(x^2+y^4))	\frac{\partial\:}{\partial\:x}(\frac{6xy^{2}}{x^{2}+y^{4}})
tangent of f(x)=(2x-4)/(sqrt(x)),\at x=4	tangent\:f(x)=\frac{2x-4}{\sqrt{x}},\at\:x=4
integral of-4/25 x+58	\int\:-\frac{4}{25}x+58dx
integral of ((2x-5)/7)	\int\:(\frac{2x-5}{7})dx
integral of (sec^2(x)-9)	\int\:(\sec^{2}(x)-9)dx
integral from 0 to 2 of (3x^2-1)/(x^2)	\int\:_{0}^{2}\frac{3x^{2}-1}{x^{2}}dx
tangent of y=2x^3-x^2+7	tangent\:y=2x^{3}-x^{2}+7
(\partial)/(\partial x)(t/(a^2t^2-x^2))	\frac{\partial\:}{\partial\:x}(\frac{t}{a^{2}t^{2}-x^{2}})
derivative of (e^x+1)/(e^x-1)	derivative\:\frac{e^{x}+1}{e^{x}-1}
(dy)/(dx)=2xy^2+128x	\frac{dy}{dx}=2xy^{2}+128x
limit as x approaches-6 of 12x+1	\lim\:_{x\to\:-6}(12x+1)
(dy)/(dx)= 1/2 (y-1)^2,y(0)=2	\frac{dy}{dx}=\frac{1}{2}(y-1)^{2},y(0)=2
integral of (x^3)/(sqrt(x^2+4))	\int\:\frac{x^{3}}{\sqrt{x^{2}+4}}dx
derivative of-2/((x-1^3))	\frac{d}{dx}(-\frac{2}{(x-1)^{3}})
(\partial)/(\partial x)(x^2cos(xln(y)))	\frac{\partial\:}{\partial\:x}(x^{2}\cos(x\ln(y)))
integral of 36e^{-6x}sin(6x)	\int\:36e^{-6x}\sin(6x)dx
integral of (x-2)(x^2-4x+9)	\int\:(x-2)(x^{2}-4x+9)dx
integral of 2x^2e^{2x}	\int\:2x^{2}e^{2x}dx
(\partial)/(\partial s)(st)	\frac{\partial\:}{\partial\:s}(st)
tangent of x^4-2x^3+5	tangent\:x^{4}-2x^{3}+5
integral from 0 to t of x	\int\:_{0}^{t}xdx
derivative of cos(3x^7+2)	\frac{d}{dx}(\cos(3x^{7}+2))
integral of sec(4x)	\int\:\sec(4x)dx
derivative of acos(x-bsin(x))	\frac{d}{dx}(a\cos(x)-b\sin(x))
derivative of (24/((x-1)^5))	\frac{d}{dx}(\frac{24}{(x-1)^{5}})
slope of (-4,-9),(7,7)	slope\:(-4,-9),(7,7)
(\partial)/(\partial x)(xycos(6yz))	\frac{\partial\:}{\partial\:x}(xy\cos(6yz))
(\partial)/(\partial x)(-x^3)	\frac{\partial\:}{\partial\:x}(-x^{3})
(\partial)/(\partial x)(-1/2 x-3y+1)	\frac{\partial\:}{\partial\:x}(-\frac{1}{2}x-3y+1)
limit as x approaches 1 of sqrt(3+x^2)	\lim\:_{x\to\:1}(\sqrt{3+x^{2}})
derivative of f(x)= 1/(x^4)	derivative\:f(x)=\frac{1}{x^{4}}
ydx=xdy	ydx=xdy
integral of (sin(θ)cos(θ))/(1+sin^2(θ))	\int\:\frac{\sin(θ)\cos(θ)}{1+\sin^{2}(θ)}dθ
(\partial)/(\partial x)(sqrt(x^3+y^3))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{3}+y^{3}})
(\partial)/(\partial x)(ln(x^2+3y))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}+3y))
limit as x approaches infinity of 1-x^2	\lim\:_{x\to\:\infty\:}(1-x^{2})
taylor 1/(2-x)+1/(2-3x)	taylor\:\frac{1}{2-x}+\frac{1}{2-3x}
integral of (7x^2-6x+16)/(x^3+4x)	\int\:\frac{7x^{2}-6x+16}{x^{3}+4x}dx
2y^{''}+8y^'+80y=80cos(8t)	2y^{\prime\:\prime\:}+8y^{\prime\:}+80y=80\cos(8t)
limit as x approaches-3 of sqrt(x+3)	\lim\:_{x\to\:-3}(\sqrt{x+3})
(x-8)y^'+y=x^2-6	(x-8)y^{\prime\:}+y=x^{2}-6
limit as z approaches 0 of z/(tan(z))	\lim\:_{z\to\:0}(\frac{z}{\tan(z)})
d/(dt)(2t+7)	\frac{d}{dt}(2t+7)
derivative of 2-x/4	\frac{d}{dx}(2-\frac{x}{4})
integral from 1 to 2 of 4/((x-1)^{1/4)}	\int\:_{1}^{2}\frac{4}{(x-1)^{\frac{1}{4}}}dx
derivative of 1/((-x^2+3x+3^4))	\frac{d}{dx}(\frac{1}{(-x^{2}+3x+3)^{4}})
limit as x approaches 3+of (3x)/(x-3)	\lim\:_{x\to\:3+}(\frac{3x}{x-3})
limit as x approaches 1 of (x^m-1)/(x-1)	\lim\:_{x\to\:1}(\frac{x^{m}-1}{x-1})
tangent of f(x)=(x^2)/(x-3),\at x=0	tangent\:f(x)=\frac{x^{2}}{x-3},\at\:x=0
(\partial)/(\partial x)(cos(x+9y))	\frac{\partial\:}{\partial\:x}(\cos(x+9y))
ydy=xdx	ydy=xdx
d/(dy)(sqrt(9-y^2))	\frac{d}{dy}(\sqrt{9-y^{2}})
derivative of 2^x+2cos((2x/2))	\frac{d}{dx}(2^{x}+2\cos(\frac{2x}{2}))
integral of 7x^3sqrt(x^4+6)	\int\:7x^{3}\sqrt{x^{4}+6}dx
slope of (-9,-3),(7,-7)	slope\:(-9,-3),(7,-7)
derivative of pie^{(2/(pix)})	\frac{d}{dx}(πe^{(\frac{2}{πx})})
derivative of (40)/(0.01x^2+1)	derivative\:\frac{40}{0.01x^{2}+1}
(\partial)/(\partial z)(2z^{10})	\frac{\partial\:}{\partial\:z}(2z^{10})
integral of (13)/x	\int\:\frac{13}{x}dx
(\partial)/(\partial x)(-2xyz^{-1})	\frac{\partial\:}{\partial\:x}(-2xyz^{-1})
limit as x approaches-5 of x/(x+4)	\lim\:_{x\to\:-5}(\frac{x}{x+4})
sum from n=0 to infinity of n*sin(npi)	\sum\:_{n=0}^{\infty\:}n\cdot\:\sin(nπ)
limit as x approaches 6 of (\|x-6\|)/(x-6)	\lim\:_{x\to\:6}(\frac{\left\|x-6\right\|}{x-6})
integral from 0 to 1 of 6(1+sqrt(x))^7	\int\:_{0}^{1}6(1+\sqrt{x})^{7}dx
derivative of f(x)=(2-x^3)^2	derivative\:f(x)=(2-x^{3})^{2}
integral of (1+1/x+1/(x^2))	\int\:(1+\frac{1}{x}+\frac{1}{x^{2}})dx
limit as (x,y) approaches (0,0) of x^y	\lim\:_{(x,y)\to\:(0,0)}(x^{y})
limit as x approaches 2 of 7-2x	\lim\:_{x\to\:2}(7-2x)
integral of x/(x^4+9)	\int\:\frac{x}{x^{4}+9}dx
integral of (x+4)/(x^2+2x+5)	\int\:\frac{x+4}{x^{2}+2x+5}dx
integral from 0 to 2 of sqrt(x)	\int\:_{0}^{2}\sqrt{x}dx
tangent of f(x)=-3x^3-3x^2-x+3,\at x=-1	tangent\:f(x)=-3x^{3}-3x^{2}-x+3,\at\:x=-1

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