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Popular Calculus Problems

(\partial)/(\partial s)(tcos(s))	\frac{\partial\:}{\partial\:s}(t\cos(s))
1/x y^'= 1/x-1/(x^3)-5-y	\frac{1}{x}y^{\prime\:}=\frac{1}{x}-\frac{1}{x^{3}}-5-y
integral of 1/(w^2+9)	\int\:\frac{1}{w^{2}+9}dw
derivative of sqrt(5-4x)	\frac{d}{dx}(\sqrt{5-4x})
derivative of \|x^2-3x+2\|	\frac{d}{dx}(\left\|x^{2}-3x+2\right\|)
derivative of 5sqrt((xy/2))	\frac{d}{dx}(5\sqrt{\frac{xy}{2}})
2sqrt(x)(dy)/(dx)=cos^2(y)	2\sqrt{x}\frac{dy}{dx}=\cos^{2}(y)
derivative of arccos(x^{1/2})	derivative\:\arccos(x^{\frac{1}{2}})
derivative of 4x^3+e^{16x}-3^{2x-1}	derivative\:4x^{3}+e^{16x}-3^{2x-1}
integral of ((x^3)/(sqrt(1-x^2)))	\int\:(\frac{x^{3}}{\sqrt{1-x^{2}}})dx
integral of 4\sqrt[3]{y+1}	\int\:4\sqrt[3]{y+1}dy
maclaurin-x^4+2x^3-5x^2+0.4	maclaurin\:-x^{4}+2x^{3}-5x^{2}+0.4
integral from 1 to 4 of 3sqrt(x)	\int\:_{1}^{4}3\sqrt{x}dx
inverse oflaplace (s+5)/(s(s+10)^2)	inverselaplace\:\frac{s+5}{s(s+10)^{2}}
(xy^')/(e^y+1)=2	\frac{xy^{\prime\:}}{e^{y}+1}=2
integral from-3 to 1 of x/(sqrt(9-x^2))	\int\:_{-3}^{1}\frac{x}{\sqrt{9-x^{2}}}dx
integral of (e^{2x})/(e^{2x)+6}	\int\:\frac{e^{2x}}{e^{2x}+6}dx
derivative of-2(-2e^{-x^2}x^2+e^{-x^2})	\frac{d}{dx}(-2(-2e^{-x^{2}}x^{2}+e^{-x^{2}}))
derivative of {r}(xcos^2({r}(x)x))	\frac{d}{dx}({r}(x)\cos^{2}({r}(x)x))
tangent of f(x)= 2/(x+1),\at x=3,y=1	tangent\:f(x)=\frac{2}{x+1},\at\:x=3,y=1
derivative of x-2sqrt(x)	derivative\:x-2\sqrt{x}
integral of (e^{-sqrt(x)})/(sqrt(x))	\int\:\frac{e^{-\sqrt{x}}}{\sqrt{x}}dx
3xy+y^2+(x^2+xy)y^'=0	3xy+y^{2}+(x^{2}+xy)y^{\prime\:}=0
t(dx)/(dt)-x=2t^2	t\frac{dx}{dt}-x=2t^{2}
integral of (8x)	\int\:(8x)dx
f^{''}(x)=5x^2-10x-6/(x^4)	f^{\prime\:\prime\:}(x)=5x^{2}-10x-\frac{6}{x^{4}}
integral of (e^{7ln(x)})/(x^8)	\int\:\frac{e^{7\ln(x)}}{x^{8}}dx
derivative of (x^3-3/(2x+5))	\frac{d}{dx}(\frac{x^{3}-3}{2x+5})
integral of 1/(sqrt(196+x^2))	\int\:\frac{1}{\sqrt{196+x^{2}}}dx
tangent of f(x)= 2/(x+2),\at x=1	tangent\:f(x)=\frac{2}{x+2},\at\:x=1
limit as x approaches-1 of 2x^2-3/(x-1)	\lim\:_{x\to\:-1}(2x^{2}-\frac{3}{x-1})
integral of b/(a^2x^2-c^2)	\int\:\frac{b}{a^{2}x^{2}-c^{2}}dx
integral of (x^2)/(\sqrt[3]{5x-1)}	\int\:\frac{x^{2}}{\sqrt[3]{5x-1}}dx
slope of f(x)=5x+y=6	slope\:f(x)=5x+y=6
derivative of 6cos^2(x)	\frac{d}{dx}(6\cos^{2}(x))
limit as x approaches-1 of 2x^2+3x-1	\lim\:_{x\to\:-1}(2x^{2}+3x-1)
sum from n=1 to infinity of (8n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{8n}{n!}
integral from 0 to ln(2) of xe^{-x}	\int\:_{0}^{\ln(2)}xe^{-x}dx
limit as x approaches infinity of 4x^2	\lim\:_{x\to\:\infty\:}(4x^{2})
taylor 6sin(-x)	taylor\:6\sin(-x)
sum from n=1 to infinity of 4(0.6)^{n-1}	\sum\:_{n=1}^{\infty\:}4(0.6)^{n-1}
derivative of e^x-x^4	derivative\:e^{x}-x^{4}
integral of 1/((36+x^2)^{3/2)}	\int\:\frac{1}{(36+x^{2})^{\frac{3}{2}}}dx
limit as x approaches 0 of (tan(7x))/x	\lim\:_{x\to\:0}(\frac{\tan(7x)}{x})
(\partial)/(\partial x)(x^{sqrt(x)})	\frac{\partial\:}{\partial\:x}(x^{\sqrt{x}})
derivative of g(x)=sqrt(1+2x)	derivative\:g(x)=\sqrt{1+2x}
sum from n=1 to infinity of ((cos(pi))/3)^n	\sum\:_{n=1}^{\infty\:}(\frac{\cos(π)}{3})^{n}
integral from 0 to pi/4 of sin^3(x)	\int\:_{0}^{\frac{π}{4}}\sin^{3}(x)dx
(\partial)/(\partial y)((2x)/(x^2+y))	\frac{\partial\:}{\partial\:y}(\frac{2x}{x^{2}+y})
16y^{''}+8y^'+y=x+6	16y^{\prime\:\prime\:}+8y^{\prime\:}+y=x+6
y(x+5)+y^'=0	y(x+5)+y^{\prime\:}=0
sum from n=1 to infinity of (x^n)/(n^n)	\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{n^{n}}
limit as x approaches 0 of-(1/x)	\lim\:_{x\to\:0}(-(\frac{1}{x}))
(\partial)/(\partial x)((0.09(5^x))/(x^3))	\frac{\partial\:}{\partial\:x}(\frac{0.09(5^{x})}{x^{3}})
(d^2)/(dx^2)(sin(x^3))	\frac{d^{2}}{dx^{2}}(\sin(x^{3}))
integral of 4/(x^2(x^2+25))	\int\:\frac{4}{x^{2}(x^{2}+25)}dx
derivative of f(x)=sqrt(9x)	derivative\:f(x)=\sqrt{9x}
limit as x approaches 6-of 3/(x-6)	\lim\:_{x\to\:6-}(\frac{3}{x-6})
integral of cot^3(ax)csc^3(ax)	\int\:\cot^{3}(ax)\csc^{3}(ax)dx
derivative of (6x^3+5x^2^2)	\frac{d}{dx}((6x^{3}+5x^{2})^{2})
limit as x approaches-2 of (5x)/(2+x)	\lim\:_{x\to\:-2}(\frac{5x}{2+x})
integral of x/a	\int\:\frac{x}{a}dx
sum from n=1 to infinity of n(n-1)	\sum\:_{n=1}^{\infty\:}n(n-1)
tangent of f(x)=sqrt(3)^x,\at x=8	tangent\:f(x)=\sqrt{3}^{x},\at\:x=8
limit as x approaches 0 of ((x+1))/x	\lim\:_{x\to\:0}(\frac{(x+1)}{x})
tangent of f(x)= 1/(x^5),(1,1)	tangent\:f(x)=\frac{1}{x^{5}},(1,1)
integral from 0 to 1 of sqrt(1+81x)	\int\:_{0}^{1}\sqrt{1+81x}dx
limit as x approaches 3 of log_{3}(2x^3)	\lim\:_{x\to\:3}(\log_{3}(2x^{3}))
integral of sqrt(x^2-2x^4)	\int\:\sqrt{x^{2}-2x^{4}}dx
sum from n=0 to infinity of 2/(e^n)	\sum\:_{n=0}^{\infty\:}\frac{2}{e^{n}}
(\partial)/(\partial x)(sin(3x-4y))	\frac{\partial\:}{\partial\:x}(\sin(3x-4y))
derivative of cos(9)	\frac{d}{dx}(\cos(9))
integral from 0 to 1 of 1/(x(2x+5))	\int\:_{0}^{1}\frac{1}{x(2x+5)}dx
(\partial)/(\partial x)(tan^2(x+y))	\frac{\partial\:}{\partial\:x}(\tan^{2}(x+y))
integral of-9.8t	\int\:-9.8tdt
sum from n=0 to infinity of (5/2)^n	\sum\:_{n=0}^{\infty\:}(\frac{5}{2})^{n}
sum from n=1 to infinity of 1/(3^n+5)	\sum\:_{n=1}^{\infty\:}\frac{1}{3^{n}+5}
(\partial)/(\partial x)(2x+4y)	\frac{\partial\:}{\partial\:x}(2x+4y)
sum from n=1 to infinity of 6/(pi*n)	\sum\:_{n=1}^{\infty\:}\frac{6}{π\cdot\:n}
integral of x^{-3/4}+4e^x	\int\:x^{-\frac{3}{4}}+4e^{x}dx
integral of x(\sqrt[3]{x}+\sqrt[4]{x})	\int\:x(\sqrt[3]{x}+\sqrt[4]{x})dx
derivative of 156-(x^2/(39))	\frac{d}{dx}(156-\frac{x^{2}}{39})
derivative of \sqrt[7]{x}+4sqrt(x^7)	\frac{d}{dx}(\sqrt[7]{x}+4\sqrt{x^{7}})
derivative of 4x^2ln(4x)	derivative\:4x^{2}\ln(4x)
(\partial)/(\partial x)(-x^3y^2)	\frac{\partial\:}{\partial\:x}(-x^{3}y^{2})
integral of sin^3(20x)	\int\:\sin^{3}(20x)dx
limit as x approaches 0+of x^{14x}	\lim\:_{x\to\:0+}(x^{14x})
d/(dt)(-12cos^2(t)sin(t))	\frac{d}{dt}(-12\cos^{2}(t)\sin(t))
integral of \|x\|^2	\int\:\left\|x\right\|^{2}dx
limit as x approaches 0+of x^{-ln(x)}	\lim\:_{x\to\:0+}(x^{-\ln(x)})
integral of (1+sin^2(x))/(sqrt(x))	\int\:\frac{1+\sin^{2}(x)}{\sqrt{x}}dx
inverse oflaplace (8s+16)/(s^2+8s+16)	inverselaplace\:\frac{8s+16}{s^{2}+8s+16}
limit as x approaches infinity of (cos(2x))/(x^2)	\lim\:_{x\to\:\infty\:}(\frac{\cos(2x)}{x^{2}})
derivative of 3x-5cos^2(pix)	\frac{d}{dx}(3x-5\cos^{2}(πx))
integral of 1/(x^2+6x+34)	\int\:\frac{1}{x^{2}+6x+34}dx
integral from 1 to 3 of (ln(x))/x	\int\:_{1}^{3}\frac{\ln(x)}{x}dx
slope of (2x+2y)^3=8x^3+8y^3(-1.1)	slope\:(2x+2y)^{3}=8x^{3}+8y^{3}(-1.1)
integral from 1 to 5 of 5/x	\int\:_{1}^{5}\frac{5}{x}dx
derivative of 3/(4x+6)+4x^2	derivative\:\frac{3}{4x+6}+4x^{2}
integral of (20x+7)	\int\:(20x+7)dx

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