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Popular Calculus Problems

integral of (sin(ln(4x^2)))/x	\int\:\frac{\sin(\ln(4x^{2}))}{x}dx
limit as x approaches 1 of-2sqrt(1-x)+2	\lim\:_{x\to\:1}(-2\sqrt{1-x}+2)
derivative of sin(x^2+2x)	\frac{d}{dx}(\sin(x^{2}+2x))
limit as x approaches 0 of cos(x)ln(x)	\lim\:_{x\to\:0}(\cos(x)\ln(x))
f(x)=4sin(2x)	f(x)=4\sin(2x)
limit as x approaches infinity of-5	\lim\:_{x\to\:\infty\:}(-5)
integral of (6x^2-5x+4)/(x^3+4x)	\int\:\frac{6x^{2}-5x+4}{x^{3}+4x}dx
limit as x approaches 0+of cot(x)-1/x	\lim\:_{x\to\:0+}(\cot(x)-\frac{1}{x})
integral of sqrt(1+4x)	\int\:\sqrt{1+4x}dx
inverse oflaplace 1/s*1/(s+1)	inverselaplace\:\frac{1}{s}\cdot\:\frac{1}{s+1}
integral of 8sin^2(x+pi/(12))	\int\:8\sin^{2}(x+\frac{π}{12})dx
sum from n=1 to infinity of infinity	\sum\:_{n=1}^{\infty\:}\infty\:
integral of 1/(x^{3/2)+x^{1/2}}	\int\:\frac{1}{x^{\frac{3}{2}}+x^{\frac{1}{2}}}dx
derivative of f(x)=(x-1)/(x^2)	derivative\:f(x)=\frac{x-1}{x^{2}}
(\partial)/(\partial x)(3x^2y+2xy^3)	\frac{\partial\:}{\partial\:x}(3x^{2}y+2xy^{3})
sum from n=0 to infinity of e^{-1}	\sum\:_{n=0}^{\infty\:}e^{-1}
integral from-1 to 1 of xe^x	\int\:_{-1}^{1}xe^{x}dx
derivative of ln(x^2+3x)	\frac{d}{dx}(\ln(x^{2}+3x))
derivative of 5(1-e^{-2x})	\frac{d}{dx}(5(1-e^{-2x}))
derivative of sqrt(x^2+y^2-4)	\frac{d}{dx}(\sqrt{x^{2}+y^{2}-4})
limit as x approaches-1 of (x^2+1)/(x+1)	\lim\:_{x\to\:-1}(\frac{x^{2}+1}{x+1})
integral of sqrt(6x-x^2-8)	\int\:\sqrt{6x-x^{2}-8}dx
integral of xsin(1/8 x)	\int\:x\sin(\frac{1}{8}x)dx
integral of ((x^3-6x-20))/(x+5)	\int\:\frac{(x^{3}-6x-20)}{x+5}dx
tangent of y=(x^4)+(3/((x^2))),\at x=-1	tangent\:y=(x^{4})+(\frac{3}{(x^{2})}),\at\:x=-1
y^'+2y=t	y^{\prime\:}+2y=t
maclaurin e^{-ax^2},x=0	maclaurin\:e^{-ax^{2}},x=0
(x+1)*(dy)/(dx)+y=ln(x)	(x+1)\cdot\:\frac{dy}{dx}+y=\ln(x)
derivative of e^{-2x}+e^{3x}	\frac{d}{dx}(e^{-2x}+e^{3x})
derivative of e^{,\at}sin(b*t)	derivative\:e^{,\at\:}\sin(b\cdot\:t)
integral from 1 to 5 of x^3	\int\:_{1}^{5}x^{3}dx
derivative of \sqrt[3]{x^2+3x}	\frac{d}{dx}(\sqrt[3]{x^{2}+3x})
integral of 2x(x^2+5)^8	\int\:2x(x^{2}+5)^{8}dx
integral of 11x	\int\:11xdx
derivative of 2^x-1	\frac{d}{dx}(2^{x}-1)
integral of 48sec^4(x)	\int\:48\sec^{4}(x)dx
(dy)/(dt)+e^ty=-2e^t	\frac{dy}{dt}+e^{t}y=-2e^{t}
d/(dq)(-0.1q^2+1.2q+46.4)	\frac{d}{dq}(-0.1q^{2}+1.2q+46.4)
sum from n=1 to infinity of (9/8)^n	\sum\:_{n=1}^{\infty\:}(\frac{9}{8})^{n}
implicit (dy)/(dx),xy+3=y	implicit\:\frac{dy}{dx},xy+3=y
integral of ((x^7))/(1+x^{16)}	\int\:\frac{(x^{7})}{1+x^{16}}dx
(\partial)/(\partial x)(2x^3y-3y^2z)	\frac{\partial\:}{\partial\:x}(2x^{3}y-3y^{2}z)
derivative of 2sqrt(4-x)	derivative\:2\sqrt{4-x}
derivative of kaln((x+d/(x-d)))	\frac{d}{dx}(ka\ln(\frac{x+d}{x-d}))
taylor 1/2 cos(7x)	taylor\:\frac{1}{2}\cos(7x)
(dy)/(dx)=y^2+2y	\frac{dy}{dx}=y^{2}+2y
derivative of arccot(5x^2)	\frac{d}{dx}(\arccot(5x^{2}))
(\partial)/(\partial x)(e^{ix})	\frac{\partial\:}{\partial\:x}(e^{ix})
y^'+y=t	y^{\prime\:}+y=t
derivative of (sqrt(x)/(x+3))	\frac{d}{dx}(\frac{\sqrt{x}}{x+3})
integral of 1/(x^2sqrt(9+x^2))	\int\:\frac{1}{x^{2}\sqrt{9+x^{2}}}dx
(x+2)sin(y)dx+xcos(y)dy=0	(x+2)\sin(y)dx+x\cos(y)dy=0
(dy)/(dx)=e^{-x^2},y(3)=5	\frac{dy}{dx}=e^{-x^{2}},y(3)=5
integral of (4-3x)^5+e^{2x+5}+sin(9x)	\int\:(4-3x)^{5}+e^{2x+5}+\sin(9x)dx
y^'+y/x =x	y^{\prime\:}+\frac{y}{x}=x
integral from 1 to infinity of 3/(x^5)	\int\:_{1}^{\infty\:}\frac{3}{x^{5}}dx
d/(dy)(2xy^2-3)	\frac{d}{dy}(2xy^{2}-3)
derivative of t^4	derivative\:t^{4}
limit as x approaches 0+of 1/(x^2)-1/x	\lim\:_{x\to\:0+}(\frac{1}{x^{2}}-\frac{1}{x})
integral of 2cos(y^2)	\int\:2\cos(y^{2})dy
e^{x+y}dx+e^{x-y}dy=0	e^{x+y}dx+e^{x-y}dy=0
derivative of f(x)=(x^2)/(x+7)	derivative\:f(x)=\frac{x^{2}}{x+7}
f(x)=(3x^2)/(ln(x))	f(x)=\frac{3x^{2}}{\ln(x)}
integral of (x^3)/((6-x^4)^2)	\int\:\frac{x^{3}}{(6-x^{4})^{2}}dx
integral of (7x^2+16x-19)/(x^2+2x-3)	\int\:\frac{7x^{2}+16x-19}{x^{2}+2x-3}dx
derivative of f(x)= 1/(3(x)^2+2(x))	derivative\:f(x)=\frac{1}{3(x)^{2}+2(x)}
tangent of f(x)=2x^3+42x^2+288x+14	tangent\:f(x)=2x^{3}+42x^{2}+288x+14
tangent of y=sqrt(2-6x)	tangent\:y=\sqrt{2-6x}
integral of (sqrt(3)+sqrt(x))^2	\int\:(\sqrt{3}+\sqrt{x})^{2}dx
derivative of f(x)=-x^2	derivative\:f(x)=-x^{2}
limit as x approaches 7 of 3/(x-7)	\lim\:_{x\to\:7}(\frac{3}{x-7})
limit as x approaches 0 of (3x)/(x^2+2x)	\lim\:_{x\to\:0}(\frac{3x}{x^{2}+2x})
tangent of 2/x	tangent\:\frac{2}{x}
(\partial)/(\partial x)(sqrt(4-x))	\frac{\partial\:}{\partial\:x}(\sqrt{4-x})
integral of f(g(x))	\int\:f(g(x))
integral from 0 to 2 of 1/(sqrt(x))	\int\:_{0}^{2}\frac{1}{\sqrt{x}}dx
derivative of sin^n(x)	\frac{d}{dx}(\sin^{n}(x))
derivative of ln(((x-1)/(x+1)))	\frac{d}{dx}(\ln(\frac{(x-1)}{x+1}))
4xy^3y^'=x^4+4y^4	4xy^{3}y^{\prime\:}=x^{4}+4y^{4}
integral of sqrt(49-x^2)	\int\:\sqrt{49-x^{2}}dx
integral of (x^5-x^3+8x)/(x^4)	\int\:\frac{x^{5}-x^{3}+8x}{x^{4}}dx
derivative of (1+x^{3/2})	\frac{d}{dx}((1+x)^{\frac{3}{2}})
limit as x approaches 2-of 10-x-x^2	\lim\:_{x\to\:2-}(10-x-x^{2})
integral of sec^2(9x)	\int\:\sec^{2}(9x)dx
derivative of ({F}(x)/A)	\frac{d}{dx}(\frac{{F}(x)}{A})
integral from 1 to 2 of x^2-x	\int\:_{1}^{2}x^{2}-xdx
derivative of (x^2-6x/(x+1))	\frac{d}{dx}(\frac{x^{2}-6x}{x+1})
integral of (3x^4+x^2+2)	\int\:(3x^{4}+x^{2}+2)dx
(\partial)/(\partial x)(12x^2y^5+x^2y^2)	\frac{\partial\:}{\partial\:x}(12x^{2}y^{5}+x^{2}y^{2})
limit as x approaches 0 of x^4f(x)	\lim\:_{x\to\:0}(x^{4}f(x))
integral of 1/(x^2)(1+1/x)^{1/2}	\int\:\frac{1}{x^{2}}(1+\frac{1}{x})^{\frac{1}{2}}dx
2y(x+1)dy=xdx	2y(x+1)dy=xdx
taylor 1/(x^2),\at 4	taylor\:\frac{1}{x^{2}},\at\:4
(\partial)/(\partial x)(e^xx+2e^xy)	\frac{\partial\:}{\partial\:x}(e^{x}x+2e^{x}y)
integral from 2 to 3 of 3-x	\int\:_{2}^{3}3-xdx
derivative of ln(xcsc(x))	\frac{d}{dx}(\ln(x)\csc(x))
y^'=-5sin(3t)+2cos(4t)	y^{\prime\:}=-5\sin(3t)+2\cos(4t)
limit as x approaches 0 of 1/(sin(5x))	\lim\:_{x\to\:0}(\frac{1}{\sin(5x)})
area y=-x^2+16,x=-2,y=0,x=3	area\:y=-x^{2}+16,x=-2,y=0,x=3
limit as x approaches 4+of 4/(x-4)	\lim\:_{x\to\:4+}(\frac{4}{x-4})

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