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Popular Calculus Problems

integral of (2xy)	\int\:(2xy)dx
integral of 2e^{-x^2}-1	\int\:2e^{-x^{2}}-1dx
(\partial)/(\partial z)(x^{y/z})	\frac{\partial\:}{\partial\:z}(x^{\frac{y}{z}})
derivative of f(x)=2x^3*ln(7x)	derivative\:f(x)=2x^{3}\cdot\:\ln(7x)
derivative of (4x^2+3/(2x-1))	\frac{d}{dx}(\frac{4x^{2}+3}{2x-1})
derivative of f(x)=x^3+y^3=16	derivative\:f(x)=x^{3}+y^{3}=16
area x=5-5y^2,x=5y^2-5	area\:x=5-5\cdot\:y^{2},x=5\cdot\:y^{2}-5
derivative of (x^4+48/(24x))	\frac{d}{dx}(\frac{x^{4}+48}{24x})
inverse oflaplace (e^{-pis})/s	inverselaplace\:\frac{e^{-πs}}{s}
area x^2-3x,3x+7,-1,7	area\:x^{2}-3x,3x+7,-1,7
d/(dt)(2^t)	\frac{d}{dt}(2^{t})
integral of 1/y e^{-x/y}	\int\:\frac{1}{y}e^{-\frac{x}{y}}dx
slope of sin(x^2)	slope\:\sin(x^{2})
(\partial)/(\partial x)(y^3sin(x+y))	\frac{\partial\:}{\partial\:x}(y^{3}\sin(x+y))
derivative of x/(x^{-1+9})	\frac{d}{dx}(\frac{x}{x^{-1}+9})
integral of ((3x^2)/(sqrt(64-x^2)))	\int\:(\frac{3x^{2}}{\sqrt{64-x^{2}}})dx
limit as x approaches 0+of (x^{-2})/x	\lim\:_{x\to\:0+}(\frac{x^{-2}}{x})
integral of xsqrt(36-x^2)	\int\:x\sqrt{36-x^{2}}dx
integral of (e^t)/((1+e^{(2t)))^{(3/2)}}	\int\:\frac{e^{t}}{(1+e^{(2t)})^{(\frac{3}{2})}}dt
integral of 3x-2	\int\:3x-2dx
(dy)/(dx)=sqrt(3y)*e^{x+3}	\frac{dy}{dx}=\sqrt{3y}\cdot\:e^{x+3}
area y=(x^2+7)/(5x-x^2),1,4	area\:y=\frac{x^{2}+7}{5x-x^{2}},1,4
(\partial)/(\partial x)(rsin(x))	\frac{\partial\:}{\partial\:x}(r\sin(x))
y^'=1	y^{\prime\:}=1
integral of 5cos(v)-7/(sqrt(1-v^2))	\int\:5\cos(v)-\frac{7}{\sqrt{1-v^{2}}}dv
(\partial)/(\partial y)(sqrt(4-x^2-5y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{4-x^{2}-5y^{2}})
(\partial)/(\partial x)(5e^x)	\frac{\partial\:}{\partial\:x}(5e^{x})
inverse oflaplace (s-3)/(s^2-4s+3)	inverselaplace\:\frac{s-3}{s^{2}-4s+3}
limit as x approaches 0 of (ln(x^2+1))/x	\lim\:_{x\to\:0}(\frac{\ln(x^{2}+1)}{x})
area x^2,x-4,-4,4	area\:x^{2},x-4,-4,4
derivative of f(x)= 1/10 x-1/6	derivative\:f(x)=\frac{1}{10}x-\frac{1}{6}
derivative of f(x)=e^{x/2}	derivative\:f(x)=e^{\frac{x}{2}}
integral of 5t^4cos(t^5+1)	\int\:5t^{4}\cos(t^{5}+1)dt
integral of (csc^2(θ)-1)	\int\:(\csc^{2}(θ)-1)dθ
derivative of (xsqrt(2x+1)/(sqrt(4-5x)))	\frac{d}{dx}(\frac{x\sqrt{2x+1}}{\sqrt{4-5x}})
integral of (4-3x^2)/((3x^2+4)^2)	\int\:\frac{4-3x^{2}}{(3x^{2}+4)^{2}}dx
integral of q^2cos(4q)	\int\:q^{2}\cos(4q)dq
tangent of 3x^2+3x-5	tangent\:3x^{2}+3x-5
(\partial}{\partial x}(\frac{2x)/y)	\frac{\partial\:}{\partial\:x}(\frac{2x}{y})
derivative of y=x^4e^{3x}	derivative\:y=x^{4}e^{3x}
sum from n=5 to infinity of 1/(n^2+n)	\sum\:_{n=5}^{\infty\:}\frac{1}{n^{2}+n}
integral from 0 to pi/3 of cos(4x)	\int\:_{0}^{\frac{π}{3}}\cos(4x)dx
sum from n=1 to infinity}(-1)^{n+1 of 2/(n+1)	\sum\:_{n=1}^{\infty\:}(-1)^{n+1}\frac{2}{n+1}
derivative of y=8xe^x	derivative\:y=8xe^{x}
d/(dz)((2z^6+2)/(1z^2+5))	\frac{d}{dz}(\frac{2z^{6}+2}{1z^{2}+5})
sum from n=1 to infinity of (e/n)^{2n}	\sum\:_{n=1}^{\infty\:}(\frac{e}{n})^{2n}
integral of cos^4(1)	\int\:\cos^{4}(1)dx
integral of 10xln(x+5)	\int\:10x\ln(x+5)dx
integral of x/8	\int\:\frac{x}{8}dx
y^'=y^2,y(0)=1	y^{\prime\:}=y^{2},y(0)=1
tangent of y=x^4+9x^2-x,(1,9)	tangent\:y=x^{4}+9x^{2}-x,(1,9)
e^{x+y}-y^'=0	e^{x+y}-y^{\prime\:}=0
(dy)/(dx)=(x-2ycot(2x))	\frac{dy}{dx}=(x-2y\cot(2x))
integral of (7sqrt(x))/(x^3-4)	\int\:\frac{7\sqrt{x}}{x^{3}-4}dx
integral of ((x-4)/(x^9))	\int\:(\frac{x-4}{x^{9}})dx
area y=(x-2)^2,y=4-x,y=2sqrt(x-2)	area\:y=(x-2)^{2},y=4-x,y=2\sqrt{x-2}
derivative of (75/(sqrt(12+x^2+y^2)))	\frac{d}{dx}(\frac{75}{\sqrt{12+x^{2}+y^{2}}})
integral of (-2x)/(x^2+4)	\int\:\frac{-2x}{x^{2}+4}dx
limit as x approaches 3 of xsqrt(18-x^2)	\lim\:_{x\to\:3}(x\sqrt{18-x^{2}})
derivative of (x^2+1(x^3+1))	\frac{d}{dx}((x^{2}+1)(x^{3}+1))
derivative of y=2e^xcos(x)	derivative\:y=2e^{x}\cos(x)
inverse oflaplace ((1/2))/s	inverselaplace\:\frac{(\frac{1}{2})}{s}
integral of 3x^{1/8}	\int\:3x^{\frac{1}{8}}dx
(\partial)/(\partial x)(e^2)	\frac{\partial\:}{\partial\:x}(e^{2})
slope of-3x^2+3x+1,\at x=1	slope\:-3x^{2}+3x+1,\at\:x=1
sum from n=0 to infinity of (6/5)^{-n}	\sum\:_{n=0}^{\infty\:}(\frac{6}{5})^{-n}
tangent of f(x)=sqrt(x+1),\at x=5	tangent\:f(x)=\sqrt{x+1},\at\:x=5
integral of x/(4x-3)	\int\:\frac{x}{4x-3}dx
integral from 0 to pi/6 of 2sec^3(x)	\int\:_{0}^{\frac{π}{6}}2\sec^{3}(x)dx
integral of 1-e^{-x}	\int\:1-e^{-x}dx
integral from 1 to 7 of (x+1)/(x^2+2x-1)	\int\:_{1}^{7}\frac{x+1}{x^{2}+2x-1}dx
derivative of y=(pi^2x^6+9000)/(x^2)	derivative\:y=\frac{π^{2}x^{6}+9000}{x^{2}}
integral of 2tan^4(xse)c^6x	\int\:2\tan^{4}(xse)c^{6}xdx
tangent of f(x)=e^x,\at x=7	tangent\:f(x)=e^{x},\at\:x=7
derivative of (3x+5/(1+x))	\frac{d}{dx}(\frac{3x+5}{1+x})
derivative of 3^x*ln(3)	\frac{d}{dx}(3^{x}\cdot\:\ln(3))
integral from 4 to infinity of e^{-x/5}	\int\:_{4}^{\infty\:}e^{-\frac{x}{5}}dx
derivative of a^2+4a+5	derivative\:a^{2}+4a+5
integral of 1/(x^2(x^2-4))	\int\:\frac{1}{x^{2}(x^{2}-4)}dx
derivative of sin(\|x\|)	\frac{d}{dx}(\sin(\left\|x\right\|))
integral of ((x^4-2x^3+1))/(x^2)	\int\:\frac{(x^{4}-2x^{3}+1)}{x^{2}}dx
derivative of cos^4(x/4)	\frac{d}{dx}(\cos^{4}(\frac{x}{4}))
integral of (14x+1)sqrt(7x^2+x)	\int\:(14x+1)\sqrt{7x^{2}+x}dx
x^2(dy)/(dx)+x(x+2)y=e^x	x^{2}\frac{dy}{dx}+x(x+2)y=e^{x}
integral of 7/((x-3)(x+4))	\int\:\frac{7}{(x-3)(x+4)}dx
laplacetransform e^{-t/4}	laplacetransform\:e^{-\frac{t}{4}}
limit as t approaches 1 of e^{4t}	\lim\:_{t\to\:1}(e^{4t})
(dy)/(dx)-4y=x^6e^x	\frac{dy}{dx}-4y=x^{6}e^{x}
derivative of y=5xe^xcsc(x)	derivative\:y=5xe^{x}\csc(x)
integral of xsqrt(y+x)	\int\:x\sqrt{y+x}dx
integral of x^2ln(2x)	\int\:x^{2}\ln(2x)dx
derivative of arccos(ln(x))	\frac{d}{dx}(\arccos(\ln(x)))
d/(dt)(3sin(2t))	\frac{d}{dt}(3\sin(2t))
integral from 3 to 5 of x^2	\int\:_{3}^{5}x^{2}dx
integral of (t^3)/(t^3+1)	\int\:\frac{t^{3}}{t^{3}+1}dt
inverse oflaplace 1/((s^2+5s+4))	inverselaplace\:\frac{1}{(s^{2}+5s+4)}
sum from n=0 to infinity of (2n)/(n+1)	\sum\:_{n=0}^{\infty\:}\frac{2n}{n+1}
laplacetransform te^{-,\at}	laplacetransform\:te^{-,\at\:}
integral from 0 to 2 of xsqrt(2x-x^2)	\int\:_{0}^{2}x\sqrt{2x-x^{2}}dx
limit as x approaches 0+of ln^2(x)-ln(x)	\lim\:_{x\to\:0+}(\ln^{2}(x)-\ln(x))

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