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Popular Calculus Problems

(dy)/(dx)+4tan(4x)(y)=3cos(4x)	\frac{dy}{dx}+4\tan(4x)(y)=3\cos(4x)
integral from-2 to 3 of (x^2+3x-13)	\int\:_{-2}^{3}(x^{2}+3x-13)dx
limit as x approaches 0 of arctan(ln(x))	\lim\:_{x\to\:0}(\arctan(\ln(x)))
(cos(x)sin(x))^'	(\cos(x)\sin(x))^{\prime\:}
(\partial)/(\partial x)(3xe^{-xy})	\frac{\partial\:}{\partial\:x}(3xe^{-xy})
inverse oflaplace e^{-2s} 1/(10s+2)	inverselaplace\:e^{-2s}\frac{1}{10s+2}
derivative of 2x^{3/2}+7	\frac{d}{dx}(2x^{\frac{3}{2}}+7)
integral of ((ln(x))^{11})/x	\int\:\frac{(\ln(x))^{11}}{x}dx
(arctan(sqrt(x)))^'	(\arctan(\sqrt{x}))^{\prime\:}
derivative of 8e^x+8/(\sqrt[3]{x})	\frac{d}{dx}(8e^{x}+\frac{8}{\sqrt[3]{x}})
integral of 5/(\sqrt[3]{x^2)}	\int\:\frac{5}{\sqrt[3]{x^{2}}}dx
integral of 4/((x+1)(x+3))	\int\:\frac{4}{(x+1)(x+3)}dx
limit as x approaches infinity of (8^x)/(9^{x+1)}	\lim\:_{x\to\:\infty\:}(\frac{8^{x}}{9^{x+1}})
integral of (32)/(1-cos(4x))	\int\:\frac{32}{1-\cos(4x)}dx
(\partial)/(\partial x)(r(θ,x)cos(θ))	\frac{\partial\:}{\partial\:x}(r(θ,x)\cos(θ))
limit as x approaches 3-of 3/(x^2-9)	\lim\:_{x\to\:3-}(\frac{3}{x^{2}-9})
integral from 1 to 3 of (x^2+5)/(4x-x^2)	\int\:_{1}^{3}\frac{x^{2}+5}{4x-x^{2}}dx
derivative of 15x^4	\frac{d}{dx}(15x^{4})
simplify 2/(sqrt(x))-1	simplify\:\frac{2}{\sqrt{x}}-1
integral of (arcsin(3x))/(sqrt(1-9x^2))	\int\:\frac{\arcsin(3x)}{\sqrt{1-9x^{2}}}dx
derivative of y=((x-1))/(x+1)	derivative\:y=\frac{(x-1)}{x+1}
integral of xysin(x^2y)	\int\:xy\sin(x^{2}y)dx
(\partial)/(\partial y)(2y^3)	\frac{\partial\:}{\partial\:y}(2y^{3})
integral of (16x^2)/((x-24)(x+8)^2)	\int\:\frac{16x^{2}}{(x-24)(x+8)^{2}}dx
(\partial)/(\partial y)((x+1)/(y-1))	\frac{\partial\:}{\partial\:y}(\frac{x+1}{y-1})
integral from 0 to 1 of 1/(sqrt(x)(1+x))	\int\:_{0}^{1}\frac{1}{\sqrt{x}(1+x)}dx
integral of ysqrt(y+1)	\int\:y\sqrt{y+1}dy
derivative of 4tan^2(3x)	derivative\:4\tan^{2}(3x)
integral of-ln(x)	\int\:-\ln(x)dx
(\partial)/(\partial y)(1/(x^2+y^2))	\frac{\partial\:}{\partial\:y}(\frac{1}{x^{2}+y^{2}})
limit as n approaches infinity of an	\lim\:_{n\to\:\infty\:}(an)
limit as x approaches 3 of 7/(x-3)	\lim\:_{x\to\:3}(\frac{7}{x-3})
integral of-2/(sqrt(x))	\int\:-\frac{2}{\sqrt{x}}dx
(dy)/(dt)= 2/t y+3t^2cos(3t)	\frac{dy}{dt}=\frac{2}{t}y+3t^{2}\cos(3t)
integral from 1 to infinity of x^{-2/3}	\int\:_{1}^{\infty\:}x^{-\frac{2}{3}}dx
integral of (x^2+1)cos(x)	\int\:(x^{2}+1)\cos(x)dx
limit as x approaches 2 of x^2-4/(x-2)	\lim\:_{x\to\:2}(x^{2}-\frac{4}{x-2})
integral of xln(1+x^2)	\int\:x\ln(1+x^{2})dx
(dy)/(dx)=(y/x)	\frac{dy}{dx}=(\frac{y}{x})
derivative of x^4sin(xsin(3x))	\frac{d}{dx}(x^{4}\sin(x)\sin(3x))
derivative of 3(1-x^{-2})	\frac{d}{dx}(3(1-x)^{-2})
y^'=(sin(x))/y	y^{\prime\:}=\frac{\sin(x)}{y}
integral of xsin(-4x)	\int\:x\sin(-4x)dx
integral of 1/((x^2+25)^{3/2)}	\int\:\frac{1}{(x^{2}+25)^{\frac{3}{2}}}dx
(4x-y)dx+(6y-x)dy=0	(4x-y)dx+(6y-x)dy=0
integral of (5x^2-6)^{3/2}	\int\:(5x^{2}-6)^{\frac{3}{2}}dx
derivative of (12/(ln(x)))	\frac{d}{dx}(\frac{12}{\ln(x)})
integral of (8t^3-3t^2+8t)/(t^2+1)	\int\:\frac{8t^{3}-3t^{2}+8t}{t^{2}+1}dt
derivative of e^{-5x^3-2x^2}	\frac{d}{dx}(e^{-5x^{3}-2x^{2}})
limit as x approaches 4+of 1/((x-4)^2)	\lim\:_{x\to\:4+}(\frac{1}{(x-4)^{2}})
integral of x/(1+x^2y^2)	\int\:\frac{x}{1+x^{2}y^{2}}dy
(\partial)/(\partial x)(ln(axy)+b^{xy})	\frac{\partial\:}{\partial\:x}(\ln(axy)+b^{xy})
area 220+11x-11x^2,11x^2-55x	area\:220+11x-11x^{2},11x^{2}-55x
derivative of x^5e^x	derivative\:x^{5}e^{x}
integral of 2*(x-6)^3	\int\:2\cdot\:(x-6)^{3}dx
tangent of f(x)=7+4x^2-2x^3,\at x=a	tangent\:f(x)=7+4x^{2}-2x^{3},\at\:x=a
derivative of 4e^{x^{-3}}	derivative\:4e^{x^{-3}}
limit as x approaches 0 of 9x^2-4x+8	\lim\:_{x\to\:0}(9x^{2}-4x+8)
integral of sec^2(sqrt(x))	\int\:\sec^{2}(\sqrt{x})dx
y^{''}+1.5y^'+0.037y=0,y(0)=2,y^'(0)=1	y^{\prime\:\prime\:}+1.5y^{\prime\:}+0.037y=0,y(0)=2,y^{\prime\:}(0)=1
derivative of 3^x+5	\frac{d}{dx}(3^{x}+5)
derivative of x/(x^2+25)	derivative\:\frac{x}{x^{2}+25}
integral of (-2ln(x))/x	\int\:\frac{-2\ln(x)}{x}dx
integral of x^20.4^{-x}	\int\:x^{2}0.4^{-x}dx
integral of (y^2)/((4-y^2)^{3/2)}	\int\:\frac{y^{2}}{(4-y^{2})^{\frac{3}{2}}}dy
tangent of f(x)=-18x-(17)/x	tangent\:f(x)=-18x-\frac{17}{x}
integral of (x^2)/((1+x^3)^2)	\int\:\frac{x^{2}}{(1+x^{3})^{2}}dx
derivative of e^{-yx}	\frac{d}{dx}(e^{-yx})
(4e^{2x}+2xy-y^2)dx+(x-y)^2dy=0	(4e^{2x}+2xy-y^{2})dx+(x-y)^{2}dy=0
laplacetransform 2e^{-2t}	laplacetransform\:2e^{-2t}
f(x)=arctan(x^3)	f(x)=\arctan(x^{3})
integral of 1/(3u)	\int\:\frac{1}{3u}du
integral of (-6)/x	\int\:\frac{-6}{x}dx
expand 4x^2(3x^3-2x^2+5x)	expand\:4x^{2}(3x^{3}-2x^{2}+5x)
integral of (7x^2-4)^2x^3	\int\:(7x^{2}-4)^{2}x^{3}dx
limit as x approaches 6 of 1+csc(2x)	\lim\:_{x\to\:6}(1+\csc(2x))
integral of (-9x+27)/(2x-3)	\int\:\frac{-9x+27}{2x-3}dx
integral of (x+1)y^2sin((xy)/3)	\int\:(x+1)y^{2}\sin(\frac{xy}{3})dx
sum from n=1 to infinity of (n-5)/(n+5)	\sum\:_{n=1}^{\infty\:}\frac{n-5}{n+5}
derivative of sqrt(x^2+y^2)-5	\frac{d}{dx}(\sqrt{x^{2}+y^{2}}-5)
slope of (4x)/(x-5)	slope\:\frac{4x}{x-5}
(dx)/(dr)+e^{r-x}=0	\frac{dx}{dr}+e^{r-x}=0
(\partial)/(\partial x)(e^{8y}sin(-8x))	\frac{\partial\:}{\partial\:x}(e^{8y}\sin(-8x))
integral of x(sin(x))^2	\int\:x(\sin(x))^{2}dx
derivative of f(x)=x+2sin(x)	derivative\:f(x)=x+2\sin(x)
limit as x approaches 1 of (1-x)/(ln(x))	\lim\:_{x\to\:1}(\frac{1-x}{\ln(x)})
integral of ((x^3+5))/(x^2)	\int\:\frac{(x^{3}+5)}{x^{2}}dx
limit as x approaches-2 of \|x+2\|	\lim\:_{x\to\:-2}(\left\|x+2\right\|)
integral of 7/(x^2sqrt(x^2-16))	\int\:\frac{7}{x^{2}\sqrt{x^{2}-16}}dx
derivative of 1/2 e^{2x}	derivative\:\frac{1}{2}e^{2x}
derivative of 3x-2y^4	\frac{d}{dx}(3x-2y^{4})
integral of 5/(x^3-27)	\int\:\frac{5}{x^{3}-27}dx
integral of 375-25sqrt(15x)	\int\:375-25\sqrt{15x}dx
integral of 3x^2cos(7x)	\int\:3x^{2}\cos(7x)dx
integral of sqrt(9x)	\int\:\sqrt{9x}dx
integral from 0 to 20 of 2^{t/(10)}	\int\:_{0}^{20}2^{\frac{t}{10}}dt
(\partial)/(\partial x)(-2+e^{-x}cos(y))	\frac{\partial\:}{\partial\:x}(-2+e^{-x}\cos(y))
derivative of (10)/(\sqrt[5]{x)}	derivative\:\frac{10}{\sqrt[5]{x}}
derivative of ((x-1))/(x+1)	derivative\:\frac{(x-1)}{x+1}
derivative of f(x)=(x)^3e^{(3x)}	derivative\:f(x)=(x)^{3}e^{(3x)}

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