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Popular Calculus Problems

integral of e^{8x}cos(5x)	\int\:e^{8x}\cos(5x)dx
tangent of f(x)=2e^x+x,\at x=0	tangent\:f(x)=2e^{x}+x,\at\:x=0
derivative of f(x)=tsin(t)	derivative\:f(x)=t\sin(t)
area y=8x,y=x^2	area\:y=8x,y=x^{2}
derivative of f(x)=6x^3-84x^2+11000x	derivative\:f(x)=6x^{3}-84x^{2}+11000x
derivative of h(x)=(5-6x)^5	derivative\:h(x)=(5-6x)^{5}
5x(dy)/(dx)=2xe^x-5y+6x^2	5x\frac{dy}{dx}=2xe^{x}-5y+6x^{2}
(\partial)/(\partial x)(5x^2y-x+3y^3)	\frac{\partial\:}{\partial\:x}(5x^{2}y-x+3y^{3})
integral of csc(5t)cot(5t)	\int\:\csc(5t)\cot(5t)dt
integral of (5x)/(x^2+8)	\int\:\frac{5x}{x^{2}+8}dx
limit as x approaches 4 of sqrt(x+5)-3	\lim\:_{x\to\:4}(\sqrt{x+5}-3)
(\partial)/(\partial x)(e^{x-2y})	\frac{\partial\:}{\partial\:x}(e^{x-2y})
integral of (1/(1+cos(x)))	\int\:(\frac{1}{1+\cos(x)})dx
limit as x approaches 0 of x^2cxcx	\lim\:_{x\to\:0}(x^{2}cxcx)
derivative of tanh(x-1)	\frac{d}{dx}(\tanh(x-1))
derivative of x^2-x^4	\frac{d}{dx}(x^{2}-x^{4})
area x^4-4x^2+2,x^2-2,-2,-1	area\:x^{4}-4x^{2}+2,x^{2}-2,-2,-1
y^'=e^{y/x}+y/x	y^{\prime\:}=e^{\frac{y}{x}}+\frac{y}{x}
maclaurin x^2e^{2x}	maclaurin\:x^{2}e^{2x}
integral of (4x)	\int\:(4x)dx
integral of z/(x-3)	\int\:\frac{z}{x-3}dx
integral of x^2+5x	\int\:x^{2}+5xdx
(\partial)/(\partial x)(5x^4+x^3y+xy+y^4)	\frac{\partial\:}{\partial\:x}(5x^{4}+x^{3}y+xy+y^{4})
(\partial)/(\partial y)(4xy^2)	\frac{\partial\:}{\partial\:y}(4xy^{2})
limit as x approaches infinity of 2/x	\lim\:_{x\to\:\infty\:}(\frac{2}{x})
-6t^2y^{''}+3t(t+4)y^'-3(t+4)y=4t^3	-6t^{2}y^{\prime\:\prime\:}+3t(t+4)y^{\prime\:}-3(t+4)y=4t^{3}
(dy)/(dx)+e^xy^2=x^2y^2	\frac{dy}{dx}+e^{x}y^{2}=x^{2}y^{2}
derivative of 4sec(7x)	\frac{d}{dx}(4\sec(7x))
derivative of 22-x	\frac{d}{dx}(22-x)
integral of 1/(y+y^2)	\int\:\frac{1}{y+y^{2}}dy
derivative of f(t)=t^3-t^2	derivative\:f(t)=t^{3}-t^{2}
integral of (e^x)/((e^x-1)(e^x+4))	\int\:\frac{e^{x}}{(e^{x}-1)(e^{x}+4)}dx
integral from 0 to pi of pi(5sin^2(x))^2	\int\:_{0}^{π}π(5\sin^{2}(x))^{2}dx
integral of x/(sqrt(x^2+x+3))	\int\:\frac{x}{\sqrt{x^{2}+x+3}}dx
(\partial)/(\partial x)((x-2y)/(y^2+5x^2))	\frac{\partial\:}{\partial\:x}(\frac{x-2y}{y^{2}+5x^{2}})
(\partial)/(\partial x)(sqrt(7x+16))	\frac{\partial\:}{\partial\:x}(\sqrt{7x+16})
derivative of 1/2 (6t+4)^{-1/2}	derivative\:\frac{1}{2}(6t+4)^{-\frac{1}{2}}
integral from 0 to 7 of 1/((6-2x)^{1/3)}	\int\:_{0}^{7}\frac{1}{(6-2x)^{\frac{1}{3}}}dx
integral of 7tan^2(x)sec^3(x)	\int\:7\tan^{2}(x)\sec^{3}(x)dx
derivative of 2x^3-6x+5	\frac{d}{dx}(2x^{3}-6x+5)
limit as x approaches 3 of ((x))/(x-3)	\lim\:_{x\to\:3}(\frac{(x)}{x-3})
integral from 1 to e of (4x+1)ln(x)	\int\:_{1}^{e}(4x+1)\ln(x)dx
limit as t approaches 0 of arctan(1/t)	\lim\:_{t\to\:0}(\arctan(\frac{1}{t}))
derivative of 1\sqrt[3]{x}	\frac{d}{dx}(1\sqrt[3]{x})
(\partial)/(\partial x)(2ln(x^2+y^2))	\frac{\partial\:}{\partial\:x}(2\ln(x^{2}+y^{2}))
derivative of arccsc(-t^2)	derivative\:\arccsc(-t^{2})
limit as x approaches 0 of sin((3pi)/x)	\lim\:_{x\to\:0}(\sin(\frac{3π}{x}))
(\partial)/(\partial x)(e^{x+t})	\frac{\partial\:}{\partial\:x}(e^{x+t})
(\partial)/(\partial x)(6e^{xy})	\frac{\partial\:}{\partial\:x}(6e^{xy})
derivative of e^x-x-1	\frac{d}{dx}(e^{x}-x-1)
y^'+y-x^2-2x=0	y^{\prime\:}+y-x^{2}-2x=0
v^'=9.8-3/2 v,v(0)=1.5	v^{\prime\:}=9.8-\frac{3}{2}v,v(0)=1.5
((2y)/x+(2x^4)/3)dx-dy=0	(\frac{2y}{x}+\frac{2x^{4}}{3})dx-dy=0
integral of r^2((r^3)/(18)-1)^5	\int\:r^{2}(\frac{r^{3}}{18}-1)^{5}dr
integral of cos(x)ln(x)sin(x)	\int\:\cos(x)\ln(x)\sin(x)dx
integral of (2^x)/(2^x+3)	\int\:\frac{2^{x}}{2^{x}+3}dx
derivative of 2sqrt(2x)	\frac{d}{dx}(2\sqrt{2x})
sum from n=0 to infinity of 5/(n+2)	\sum\:_{n=0}^{\infty\:}\frac{5}{n+2}
derivative of y=x^4	derivative\:y=x^{4}
33.62x^'+x=100	33.62x^{\prime\:}+x=100
derivative of 7e^{-x^2}	derivative\:7e^{-x^{2}}
y^{''}+4y^'+5y=-5x+e^{-x}	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=-5x+e^{-x}
derivative of y=(x^2)/((x+2))	derivative\:y=\frac{x^{2}}{(x+2)}
derivative of ln(x^8)	derivative\:\ln(x^{8})
integral of (sin^2(θ))/(cos^4(θ))	\int\:\frac{\sin^{2}(θ)}{\cos^{4}(θ)}dθ
(\partial)/(\partial x)(-(v(x,t))/(b(x,t)(x-v(x,t)t)))	\frac{\partial\:}{\partial\:x}(-\frac{v(x,t)}{b(x,t)(x-v(x,t)t)})
(dy)/y =dx	\frac{dy}{y}=dx
slope of 1/x	slope\:\frac{1}{x}
derivative of (1-xe^x)/(x+e^x)	derivative\:\frac{1-xe^{x}}{x+e^{x}}
(y^2-x^3-2x)dx+2xydy=0	(y^{2}-x^{3}-2x)dx+2xydy=0
limit as x approaches-2 of (10x)/(x^2)	\lim\:_{x\to\:-2}(\frac{10x}{x^{2}})
limit as x approaches 1 of x^2+3x+2	\lim\:_{x\to\:1}(x^{2}+3x+2)
integral of 1/(sqrt(1-cos(x)))	\int\:\frac{1}{\sqrt{1-\cos(x)}}dx
area x=-2,x=2,y=2x^2+12,y=0	area\:x=-2,x=2,y=2x^{2}+12,y=0
integral of (\sqrt[3]{x^5})	\int\:(\sqrt[3]{x^{5}})dx
integral of (x+1)/(x^2+1)	\int\:\frac{x+1}{x^{2}+1}dx
derivative of 8cosh(x/4 ln(arcsin(x)))	\frac{d}{dx}(8\cosh(\frac{x}{4})\ln(\arcsin(x)))
(d^2)/(dx^2)(2x^{-7})	\frac{d^{2}}{dx^{2}}(2x^{-7})
limit as x approaches 9 of 5x+\|x-9\|	\lim\:_{x\to\:9}(5x+\left\|x-9\right\|)
derivative of sqrt((4-x^2/4))	\frac{d}{dx}(\sqrt{\frac{4-x^{2}}{4}})
integral of 3^xx^2	\int\:3^{x}x^{2}dx
limit as x approaches 4 of x-3	\lim\:_{x\to\:4}(x-3)
derivative of 6/(x^6)	derivative\:\frac{6}{x^{6}}
limit as x approaches 6+of (\|x-6\|)/(x-6)	\lim\:_{x\to\:6+}(\frac{\left\|x-6\right\|}{x-6})
d/(dE)(Ei)	\frac{d}{dE}(Ei)
sum from n=1 to infinity of 2/(n^2+4n+3)	\sum\:_{n=1}^{\infty\:}\frac{2}{n^{2}+4n+3}
(\partial)/(\partial x)(x^4+2y^6-xy-x+2)	\frac{\partial\:}{\partial\:x}(x^{4}+2y^{6}-xy-x+2)
integral from 0 to 4 of pi(x+1)^2	\int\:_{0}^{4}π(x+1)^{2}dx
derivative of f(x)=x^3+2x-3	derivative\:f(x)=x^{3}+2x-3
tangent of x^2+y^2=50,(7,-1)	tangent\:x^{2}+y^{2}=50,(7,-1)
limit as x approaches+(-7) of-13	\lim\:_{x\to\:+(-7)}(-13)
limit as x approaches infinity of 3x^2	\lim\:_{x\to\:\infty\:}(3x^{2})
tangent of f(x)=(x^2+x)e^x,\at x=2	tangent\:f(x)=(x^{2}+x)e^{x},\at\:x=2
limit as x approaches 0+of x*e^{(1/x)}	\lim\:_{x\to\:0+}(x\cdot\:e^{(\frac{1}{x})})
derivative of ((3x-1/(5x+2))^4)	\frac{d}{dx}((\frac{3x-1}{5x+2})^{4})
integral from-1 to 4 of (x/(sqrt(5+x)))	\int\:_{-1}^{4}(\frac{x}{\sqrt{5+x}})dx
integral of (-7-7tan^2(x))	\int\:(-7-7\tan^{2}(x))dx
x(dy)/(dx)-3y=y^2,y(1)=3	x\frac{dy}{dx}-3y=y^{2},y(1)=3
integral of (-y)/(x^2+y^2)	\int\:\frac{-y}{x^{2}+y^{2}}dx
integral of 5cos(x)+2sin(x)	\int\:5\cos(x)+2\sin(x)dx

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