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Popular Calculus Problems

derivative of (2x+1)^3	derivative\:(2x+1)^{3}
integral of x^2sin(pix)	\int\:x^{2}\sin(πx)dx
laplacetransform f(t)=e^{-3t}+3	laplacetransform\:f(t)=e^{-3t}+3
derivative of x^2-ln(x)	\frac{d}{dx}(x^{2}-\ln(x))
derivative of sin(x^2+pi)	derivative\:\sin(x^{2}+π)
derivative of 2sqrt(x)-1/(2sqrt(x))	derivative\:2\sqrt{x}-\frac{1}{2\sqrt{x}}
derivative of y=arcsin(x^4)	derivative\:y=\arcsin(x^{4})
(\partial)/(\partial x)(1/((1+x)))	\frac{\partial\:}{\partial\:x}(\frac{1}{(1+x)})
derivative of (x^2-3x+1)sqrt(25-x^2)	derivative\:(x^{2}-3x+1)\sqrt{25-x^{2}}
limit as x approaches 1 of 7e^{x-1}	\lim\:_{x\to\:1}(7e^{x-1})
integral of (2-2x)	\int\:(2-2x)dx
(\partial)/(\partial x)(2x^3)	\frac{\partial\:}{\partial\:x}(2x^{3})
integral from 1 to 8 of 9\sqrt[3]{x}	\int\:_{1}^{8}9\sqrt[3]{x}dx
integral of-10ln(x^2-1)	\int\:-10\ln(x^{2}-1)dx
integral of (1-sqrt(x))/(1+\sqrt[4]{x)}	\int\:\frac{1-\sqrt{x}}{1+\sqrt[4]{x}}dx
inverse oflaplace s/(s^2+1)	inverselaplace\:\frac{s}{s^{2}+1}
integral of 1/(sqrt(36-6t^2))	\int\:\frac{1}{\sqrt{36-6t^{2}}}dt
derivative of f(x)=2-x^2	derivative\:f(x)=2-x^{2}
inverse oflaplace {1/(S^3)}	inverselaplace\:\left\{\frac{1}{S^{3}}\right\}
integral of In(x)	\int\:In(x)dx
taylor ln(1-2x)	taylor\:\ln(1-2x)
derivative of y=sqrt(x+4)	derivative\:y=\sqrt{x+4}
integral of (x+1)/(x^2-x-6)	\int\:\frac{x+1}{x^{2}-x-6}dx
derivative of (e^x+1^7)	\frac{d}{dx}((e^{x}+1)^{7})
integral of (x-3)/(-x^2+4x-5)	\int\:\frac{x-3}{-x^{2}+4x-5}dx
(\partial)/(\partial y)(ye^{xy}-1/y)	\frac{\partial\:}{\partial\:y}(ye^{xy}-\frac{1}{y})
derivative of 4x^3-66x^2+216x	\frac{d}{dx}(4x^{3}-66x^{2}+216x)
derivative of cos^2(x^3-ln(x^2-1))	\frac{d}{dx}(\cos^{2}(x^{3})-\ln(x^{2}-1))
tangent of (x^3)/6-3x^2+((77x))/6-8,\at x=5	tangent\:\frac{x^{3}}{6}-3x^{2}+\frac{(77x)}{6}-8,\at\:x=5
(dy)/(dx)= y/(2+x^2)	\frac{dy}{dx}=\frac{y}{2+x^{2}}
limit as x approaches 0 of (e^x-2)/x	\lim\:_{x\to\:0}(\frac{e^{x}-2}{x})
limit as x approaches-8 of (8+x)/(8+x)	\lim\:_{x\to\:-8}(\frac{8+x}{8+x})
integral of (x^4+x^3)^{12}(4x^3+3x^2)	\int\:(x^{4}+x^{3})^{12}(4x^{3}+3x^{2})dx
laplacetransform cos(2t)	laplacetransform\:\cos(2t)
laplacetransform s^2+4s+13s^2+4s+13	laplacetransform\:s^{2}+4s+13s^{2}+4s+13
sum from n=0 to infinity of (n+1)x^n	\sum\:_{n=0}^{\infty\:}(n+1)x^{n}
derivative of (x^2-x+1/(x^2+1))	\frac{d}{dx}(\frac{x^{2}-x+1}{x^{2}+1})
(dy)/(dx)+3/(3.5)y=9.8	\frac{dy}{dx}+\frac{3}{3.5}y=9.8
(\partial)/(\partial z)(zln(x^2ycos(z)))	\frac{\partial\:}{\partial\:z}(z\ln(x^{2}y\cos(z)))
(\partial)/(\partial x)(sin(x)+xcos(x))	\frac{\partial\:}{\partial\:x}(\sin(x)+x\cos(x))
(dy)/(dt)=4-(1.5y)/(10+2.5t)	\frac{dy}{dt}=4-\frac{1.5y}{10+2.5t}
integral of 6tan^4(x)	\int\:6\tan^{4}(x)dx
(\partial)/(\partial x)(2x+y+1)	\frac{\partial\:}{\partial\:x}(2x+y+1)
integral of (3x^2-7)/(x^3-7x+6)	\int\:\frac{3x^{2}-7}{x^{3}-7x+6}dx
integral from 0 to 1 of (tsqrt(4+9t^2))	\int\:_{0}^{1}(t\sqrt{4+9t^{2}})dt
slope ofintercept x+2y=x+2y=8	slopeintercept\:x+2y=x+2y=8
y^'=5x(x-3)	y^{\prime\:}=5x(x-3)
(dy)/(dx)= 1/3 (x^2+2)^{3/2}	\frac{dy}{dx}=\frac{1}{3}(x^{2}+2)^{\frac{3}{2}}
(\partial)/(\partial x)(e^{ye^x})	\frac{\partial\:}{\partial\:x}(e^{ye^{x}})
integral of (e^{-5x}+2e^x)	\int\:(e^{-5x}+2e^{x})dx
integral of 8/(7x)	\int\:\frac{8}{7x}dx
derivative of f(x)=(34x-2pi*x^3)/2	derivative\:f(x)=\frac{34x-2π\cdot\:x^{3}}{2}
(\partial)/(\partial x)(e^{4y-x^2-y^2})	\frac{\partial\:}{\partial\:x}(e^{4y-x^{2}-y^{2}})
integral of (8x^7-7/(x^7))	\int\:(8x^{7}-\frac{7}{x^{7}})dx
derivative of y=x^{10}	derivative\:y=x^{10}
derivative of f(x)=-(16)/(x^3)	derivative\:f(x)=-\frac{16}{x^{3}}
derivative of ax^2(x-3+bx^4(ln(x/3)))	\frac{d}{dx}(ax^{2}(x-3)+bx^{4}(\ln(\frac{x}{3})))
integral of (2t)/(1-t^2)	\int\:\frac{2t}{1-t^{2}}dt
sum from n=1 to infinity of n*2^{-n}	\sum\:_{n=1}^{\infty\:}n\cdot\:2^{-n}
-5t^2y^{''}-2ty^'+14y=0	-5t^{2}y^{\prime\:\prime\:}-2ty^{\prime\:}+14y=0
derivative of x^2e^x-2xe^x+5e^x	derivative\:x^{2}e^{x}-2xe^{x}+5e^{x}
limit as x approaches 0 of (x^2+5x)/x	\lim\:_{x\to\:0}(\frac{x^{2}+5x}{x})
xy^'=y+x	xy^{\prime\:}=y+x
integral of \|2x-3\|	\int\:\left\|2x-3\right\|dx
y^{''}+6y^'=-108cos(6x)	y^{\prime\:\prime\:}+6y^{\prime\:}=-108\cos(6x)
integral of ((5sin^3(x)))/(cos(x))	\int\:\frac{(5\sin^{3}(x))}{\cos(x)}dx
integral of 5e^{9x}	\int\:5e^{9x}dx
tangent of f(x)=x^4,(2,16)	tangent\:f(x)=x^{4},(2,16)
limit as x approaches 0 of+(x)	\lim\:_{x\to\:0}(+(x))
integral of 1/((x/2)^2+1)	\int\:\frac{1}{(\frac{x}{2})^{2}+1}dx
derivative of \sqrt[3]{8}	\frac{d}{dx}(\sqrt[3]{8})
derivative of (e^{2x}-1/x)	\frac{d}{dx}(\frac{e^{2x}-1}{x})
derivative of 6/(x^5)	\frac{d}{dx}(\frac{6}{x^{5}})
integral of e^{-x/2}x	\int\:e^{-\frac{x}{2}}xdx
integral of xcos(x/2)	\int\:x\cos(\frac{x}{2})dx
((x-y))/((x+2y))=(dy)/(dx)	\frac{(x-y)}{(x+2y)}=\frac{dy}{dx}
y'=y^2-4	y\prime\:=y^{2}-4
(x^2+4)((dy)/(dx))=xy	(x^{2}+4)(\frac{dy}{dx})=xy
integral of x^3sqrt(x^2+40)	\int\:x^{3}\sqrt{x^{2}+40}dx
derivative of 4/(x^2)	derivative\:\frac{4}{x^{2}}
integral of ((x-95))/(x^2(x+5))	\int\:\frac{(x-95)}{x^{2}(x+5)}dx
y^'=(x-3)(y+1)^{(2/3)}	y^{\prime\:}=(x-3)(y+1)^{(\frac{2}{3})}
limit as x approaches 2+of e^{3/(2-x)}	\lim\:_{x\to\:2+}(e^{\frac{3}{2-x}})
derivative of (x^3+y^3/(x^2+y^2))	\frac{d}{dx}(\frac{x^{3}+y^{3}}{x^{2}+y^{2}})
integral of 23	\int\:23
integral of (x+2)/(x^2(x^2+1))	\int\:\frac{x+2}{x^{2}(x^{2}+1)}dx
sum from n=1 to infinity of 1/((2n-1)2n)	\sum\:_{n=1}^{\infty\:}\frac{1}{(2n-1)2n}
limit as h approaches 0 of 4(h+2)	\lim\:_{h\to\:0}(4(h+2))
(dy)/(dx)=x^2y^3	\frac{dy}{dx}=x^{2}y^{3}
y^{''}+6y^'+9y=3x+5,y(0)=1,y^'(0)=-1	y^{\prime\:\prime\:}+6y^{\prime\:}+9y=3x+5,y(0)=1,y^{\prime\:}(0)=-1
integral from 0 to 1 of (x^3+x)	\int\:_{0}^{1}(x^{3}+x)dx
integral of 2xyz	\int\:2xyzdy
(\partial)/(\partial y)(y-1/x)	\frac{\partial\:}{\partial\:y}(y-\frac{1}{x})
limit as x approaches 2+of 3	\lim\:_{x\to\:2+}(3)
laplacetransform t^3e^{-,\at}	laplacetransform\:t^{3}e^{-,\at\:}
integral of x/(sqrt(6x+1))	\int\:\frac{x}{\sqrt{6x+1}}dx
derivative of 4xsqrt(3x^2+2)	derivative\:4x\sqrt{3x^{2}+2}
derivative of (x^5)/(10)+1/(6x^3)	derivative\:\frac{x^{5}}{10}+\frac{1}{6x^{3}}
integral of (cos(t))/(sin^4(t)-16)	\int\:\frac{\cos(t)}{\sin^{4}(t)-16}dt
derivative of (x+5/(x+1))	\frac{d}{dx}(\frac{x+5}{x+1})

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