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Popular Calculus Problems

integral from 2 to 5 of 1/(x^2-1)	\int\:_{2}^{5}\frac{1}{x^{2}-1}dx
(\partial)/(\partial z)(e^{2z}x+2z)	\frac{\partial\:}{\partial\:z}(e^{2z}x+2z)
limit as x approaches+0-of e^{7/x}	\lim\:_{x\to\:+0-}(e^{\frac{7}{x}})
derivative of \sqrt[3]{x}+1/(x^2)	derivative\:\sqrt[3]{x}+\frac{1}{x^{2}}
(\partial)/(\partial x)(-1/((10+x*y)))	\frac{\partial\:}{\partial\:x}(-\frac{1}{(10+x\cdot\:y)})
derivative of x(8^{-2x})	derivative\:x(8^{-2x})
laplacetransform 3/2 sin(2t)	laplacetransform\:\frac{3}{2}\sin(2t)
limit as x approaches 3 of 1/(x-3)	\lim\:_{x\to\:3}(\frac{1}{x-3})
f(x)=cos^2(2-x^2)	f(x)=\cos^{2}(2-x^{2})
integral of 1/(a^2+b^2x^2)	\int\:\frac{1}{a^{2}+b^{2}x^{2}}dx
integral of 2xy-9x^2	\int\:2xy-9x^{2}dx
tangent of 2x-2x^2	tangent\:2x-2x^{2}
derivative of 0.9x^33^x	derivative\:0.9x^{3}3^{x}
(\partial)/(\partial x)((4sqrt(x))/(3y^2+1))	\frac{\partial\:}{\partial\:x}(\frac{4\sqrt{x}}{3y^{2}+1})
derivative of 3x^2-1-x^3	\frac{d}{dx}(3x^{2}-1-x^{3})
integral of e^{11x}(11)	\int\:e^{11x}(11)dx
integral of x^3tan(xy)	\int\:x^{3}\tan(xy)dy
derivative of-x^2+1	\frac{d}{dx}(-x^{2}+1)
-y+x(dy)/(dx)ln(x)=0	-y+x\frac{dy}{dx}\ln(x)=0
integral of cos(wt)e^{-st}	\int\:\cos(wt)e^{-st}dt
integral of xln(x^4)	\int\:x\ln(x^{4})dx
derivative of (x-1^2(x+3))	\frac{d}{dx}((x-1)^{2}(x+3))
derivative of mx+b	derivative\:mx+b
(\partial)/(\partial x)(-ksqrt(p(x)gx+A))	\frac{\partial\:}{\partial\:x}(-k\sqrt{p(x)gx+A})
integral from 0 to 2 of a^{x/2}	\int\:_{0}^{2}a^{\frac{x}{2}}dx
integral of-9/x	\int\:-\frac{9}{x}dx
integral from 1 to 5 of (x^2+7)/(6x-x^2)	\int\:_{1}^{5}\frac{x^{2}+7}{6x-x^{2}}dx
limit as n approaches infinity of 7n	\lim\:_{n\to\:\infty\:}(7n)
integral of 0.5	\int\:0.5
integral of x^5tan^3(x^6)	\int\:x^{5}\tan^{3}(x^{6})dx
integral from-1 to 27 of 1/(\sqrt[3]{x)}	\int\:_{-1}^{27}\frac{1}{\sqrt[3]{x}}dx
integral of (e^{9/t})/(t^2)	\int\:\frac{e^{\frac{9}{t}}}{t^{2}}dt
integral of (6x+5)^2	\int\:(6x+5)^{2}dx
derivative of b	derivative\:b
2y(x^2-y+x)dx+(x^2-2y)dy=0	2y(x^{2}-y+x)dx+(x^{2}-2y)dy=0
integral from 0 to 4 of 2	\int\:_{0}^{4}2dx
integral of-2x^2e^{8(x^2)}-2xe^{-8x}	\int\:-2x^{2}e^{8(x^{2})}-2xe^{-8x}dx
derivative of arcsin(-4x)	\frac{d}{dx}(\arcsin(-4x))
sum from n=0 to infinity of 2/(3^{n+1)}	\sum\:_{n=0}^{\infty\:}\frac{2}{3^{n+1}}
y^{''}-b^2y=0	y^{\prime\:\prime\:}-b^{2}y=0
integral of (ln(2)x^5)/(x^2)	\int\:\frac{\ln(2)x^{5}}{x^{2}}dx
integral from 0 to 4 of sqrt(x)-(x-2)	\int\:_{0}^{4}\sqrt{x}-(x-2)dx
x^{''}+x=0,x(pi/2)=0,x^'(pi/2)=1	x^{\prime\:\prime\:}+x=0,x(\frac{π}{2})=0,x^{\prime\:}(\frac{π}{2})=1
integral of a^xx	\int\:a^{x}xdx
area y=2x^2,y=8x-2x^2	area\:y=2x^{2},y=8x-2x^{2}
(\partial)/(\partial y)(x^2+y^2-13)	\frac{\partial\:}{\partial\:y}(x^{2}+y^{2}-13)
tangent of f(x)=-x^2-7x+44,\at x=2	tangent\:f(x)=-x^{2}-7x+44,\at\:x=2
integral of-e^{3x}	\int\:-e^{3x}dx
derivative of (2(-x^2+1))/((x^2+1)^2)	derivative\:\frac{2(-x^{2}+1)}{(x^{2}+1)^{2}}
integral of y/(xz)	\int\:\frac{y}{xz}dx
inverse oflaplace (s+2)/((s-2)(s+1))	inverselaplace\:\frac{s+2}{(s-2)(s+1)}
integral of 2xy-sin(x)	\int\:2xy-\sin(x)dx
derivative of f(x)=(x+1)(3x^2-5x+2)	derivative\:f(x)=(x+1)(3x^{2}-5x+2)
y^{''}-y^'-y=0	y^{\prime\:\prime\:}-y^{\prime\:}-y=0
limit as x approaches 4 of 2x-1	\lim\:_{x\to\:4}(2x-1)
derivative of 2e^xln(x)	\frac{d}{dx}(2e^{x}\ln(x))
limit as x approaches-2 of-x^2+8x-4	\lim\:_{x\to\:-2}(-x^{2}+8x-4)
integral of (28)/((1-x^2)^{3/2)}	\int\:\frac{28}{(1-x^{2})^{\frac{3}{2}}}dx
(1x+ye^{y/x})dx-xe^{y/x}dy=0,y(1)=3	(1x+ye^{\frac{y}{x}})dx-xe^{\frac{y}{x}}dy=0,y(1)=3
integral of (x^6)/2	\int\:\frac{x^{6}}{2}dx
derivative of e^{e^{e^x}}	\frac{d}{dx}(e^{e^{e^{x}}})
limit as x approaches 3 of 1/((3-x))	\lim\:_{x\to\:3}(\frac{1}{(3-x)})
derivative of log_{10}(2+sin(x))	\frac{d}{dx}(\log_{10}(2+\sin(x)))
(\partial)/(\partial x)(tan(8+2x^2y^3z^2))	\frac{\partial\:}{\partial\:x}(\tan(8+2x^{2}y^{3}z^{2}))
derivative of x(2x-5^3)	\frac{d}{dx}(x(2x-5)^{3})
integral of 2cos(x)sin(x)+1/(2x)	\int\:2\cos(x)\sin(x)+\frac{1}{2x}dx
integral of 17sin^2(x)cos^2(x)	\int\:17\sin^{2}(x)\cos^{2}(x)dx
y^'-7/x y=(y^3)/(x^{10)}	y^{\prime\:}-\frac{7}{x}y=\frac{y^{3}}{x^{10}}
area 75-3x^2,[0,7]	area\:75-3x^{2},[0,7]
sum from n=1 to infinity of n(7/8)^n	\sum\:_{n=1}^{\infty\:}n(\frac{7}{8})^{n}
derivative of x^2+4x+5	derivative\:x^{2}+4x+5
(\partial)/(\partial x)(sqrt(x(y-1)))	\frac{\partial\:}{\partial\:x}(\sqrt{x(y-1)})
derivative of x^2log_{2}(x)	\frac{d}{dx}(x^{2}\log_{2}(x))
tangent of (x^3-25x)^{12}(-5)	tangent\:(x^{3}-25x)^{12}(-5)
d/(dt)(((2t+1)^{3/2})/3)	\frac{d}{dt}(\frac{(2t+1)^{\frac{3}{2}}}{3})
tangent of f(x)=(3x+1)(6x-2)	tangent\:f(x)=(3x+1)(6x-2)
inverse oflaplace 1/(s*(s^2+5s+4))	inverselaplace\:\frac{1}{s\cdot\:(s^{2}+5s+4)}
derivative of-6cos(x)	\frac{d}{dx}(-6\cos(x))
integral of (x^2)/((4-x^2)^{1/2)}	\int\:\frac{x^{2}}{(4-x^{2})^{\frac{1}{2}}}dx
derivative of x^2+x^4	\frac{d}{dx}(x^{2}+x^{4})
f(x)= 1/(1-x^2)	f(x)=\frac{1}{1-x^{2}}
derivative of e^{2x^2+3}	\frac{d}{dx}(e^{2x^{2}+3})
tangent of f(x)=(1-x)(x^2-8)^2,\at x=3	tangent\:f(x)=(1-x)(x^{2}-8)^{2},\at\:x=3
derivative of f(x)=7arcsin(x^4)	derivative\:f(x)=7\arcsin(x^{4})
integral of (6x+7)/(x^2+4x+4)	\int\:\frac{6x+7}{x^{2}+4x+4}dx
integral from-3 to 1 of x^2e^{x^3+27}	\int\:_{-3}^{1}x^{2}e^{x^{3}+27}dx
inverse oflaplace ((3s+3))/(s^2-9)	inverselaplace\:\frac{(3s+3)}{s^{2}-9}
integral of cos^3(6x)	\int\:\cos^{3}(6x)dx
area x+y=0,x+y^2=56	area\:x+y=0,x+y^{2}=56
simplify x^n	simplify\:x^{n}
derivative of x^7sqrt(x)	\frac{d}{dx}(x^{7}\sqrt{x})
derivative of f(x)=((x^2+8))/(7x-1)	derivative\:f(x)=\frac{(x^{2}+8)}{7x-1}
integral of x/(sqrt(6x^2+1))	\int\:\frac{x}{\sqrt{6x^{2}+1}}dx
slope of (2x+2y)^3=8x^3+8y^3	slope\:(2x+2y)^{3}=8x^{3}+8y^{3}
integral of ((tan(x))/(sin(x)cos(x)))	\int\:(\frac{\tan(x)}{\sin(x)\cos(x)})dx
area f(x)=2x^2+3,x,[-1,2]	area\:f(x)=2x^{2}+3,x,[-1,2]
limit as x approaches-2 of x^2+x-2	\lim\:_{x\to\:-2}(x^{2}+x-2)
tangent of f(x)=2x^2-x+1,\at x=1	tangent\:f(x)=2x^{2}-x+1,\at\:x=1
xy^3dx+(y+1)e^{-x}dy=0	xy^{3}dx+(y+1)e^{-x}dy=0
tangent of f(x)=x^2+2,\at x=2	tangent\:f(x)=x^{2}+2,\at\:x=2

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