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Popular Calculus Problems

integral of sin(8x-2)	\int\:\sin(8x-2)dx
f^'(x)=6x^2-8x,f(3)=27	f^{\prime\:}(x)=6x^{2}-8x,f(3)=27
limit as x approaches-9 of (-3x)/(x+9)	\lim\:_{x\to\:-9}(\frac{-3x}{x+9})
d/(dt)(asin^3(t))	\frac{d}{dt}(a\sin^{3}(t))
(d^2)/(dx^2)(sqrt(x)-2/x)	\frac{d^{2}}{dx^{2}}(\sqrt{x}-\frac{2}{x})
(\partial)/(\partial y)(x^2-xy-y^2)	\frac{\partial\:}{\partial\:y}(x^{2}-xy-y^{2})
integral of (3x^3-sqrt(x))/x	\int\:\frac{3x^{3}-\sqrt{x}}{x}dx
integral of \sqrt[3]{4-3x^2}(-6x)	\int\:\sqrt[3]{4-3x^{2}}(-6x)dx
derivative of \|x^2-2x-3\|	\frac{d}{dx}(\left\|x^{2}-2x-3\right\|)
limit as x approaches 2 of sqrt(2x^2+1)	\lim\:_{x\to\:2}(\sqrt{2x^{2}+1})
derivative of-(x+3arcsin(x))/4	derivative\:-\frac{x+3\arcsin(x)}{4}
integral of (4x-10)/(x^2-6x+8)	\int\:\frac{4x-10}{x^{2}-6x+8}dx
integral of (x+2)/(x+5)	\int\:\frac{x+2}{x+5}dx
f(t)=t^6	f(t)=t^{6}
derivative of f(x)=5x^4-5x^2+7	derivative\:f(x)=5x^{4}-5x^{2}+7
integral of 1/(x^2+8x+16)	\int\:\frac{1}{x^{2}+8x+16}dx
derivative of log_{5}(e^x)	\frac{d}{dx}(\log_{5}(e^{x}))
integral of x^2sin(10x)	\int\:x^{2}\sin(10x)dx
integral of (3e^x-3^x+3)	\int\:(3e^{x}-3^{x}+3)dx
integral of (x^4+3x+1)/(x^3+x^2-2x)	\int\:\frac{x^{4}+3x+1}{x^{3}+x^{2}-2x}dx
derivative of f(x)=-5x^3-7x^2+8x-7	derivative\:f(x)=-5x^{3}-7x^{2}+8x-7
integral of x(x+2)^2	\int\:x(x+2)^{2}dx
derivative of xln(x+2x)	\frac{d}{dx}(x\ln(x)+2x)
(\partial)/(\partial x)(x^2ln(x^2+y^2))	\frac{\partial\:}{\partial\:x}(x^{2}\ln(x^{2}+y^{2}))
integral of (7x^6+7x^3+4)	\int\:(7x^{6}+7x^{3}+4)dx
integral of e^{ln(x^2)}x	\int\:e^{\ln(x^{2})}xdx
derivative of e^{2x}-cos(2x)	\frac{d}{dx}(e^{2x}-\cos(2x))
limit as x approaches 0 of ((sin(4x)))/x	\lim\:_{x\to\:0}(\frac{(\sin(4x))}{x})
limit as x approaches 0 of 5x	\lim\:_{x\to\:0}(5x)
tangent of f(x)=(-5)/(x-1),\at a=8	tangent\:f(x)=\frac{-5}{x-1},\at\:a=8
tangent of r=1+cos(θ)	tangent\:r=1+\cos(θ)
derivative of g(x)=(2x^2+x+9)^{-3}	derivative\:g(x)=(2x^{2}+x+9)^{-3}
d/(dy)(e^{3x}(3x^2y+2xy+y^3))	\frac{d}{dy}(e^{3x}(3x^{2}y+2xy+y^{3}))
integral of (cos(3t)+3)/(sin(3t))	\int\:\frac{\cos(3t)+3}{\sin(3t)}dt
integral of (2ln(x))/(x^3)	\int\:\frac{2\ln(x)}{x^{3}}dx
integral of 2x+6	\int\:2x+6dx
inverse oflaplace 1/(s^4(s+3))	inverselaplace\:\frac{1}{s^{4}(s+3)}
(\partial)/(\partial z)(z/(x^2+y^2+z^2))	\frac{\partial\:}{\partial\:z}(\frac{z}{x^{2}+y^{2}+z^{2}})
(dy)/(dx)+15x^2y=45x^2	\frac{dy}{dx}+15x^{2}y=45x^{2}
derivative of 1/(1-5x)	\frac{d}{dx}(\frac{1}{1-5x})
integral of 5/(sqrt(x))+5sqrt(x)	\int\:\frac{5}{\sqrt{x}}+5\sqrt{x}dx
(dy)/(dx)=4(x^2+1)	\frac{dy}{dx}=4(x^{2}+1)
(\partial)/(\partial x)(5x+6y)	\frac{\partial\:}{\partial\:x}(5x+6y)
limit as x approaches+3 of (x^2-2)/(3-x)	\lim\:_{x\to\:+3}(\frac{x^{2}-2}{3-x})
integral of sin(x+1)	\int\:\sin(x+1)dx
integral of (x^2+2x)e^{3x+2}	\int\:(x^{2}+2x)e^{3x+2}dx
derivative of 2/(1+x)	\frac{d}{dx}(\frac{2}{1+x})
(dy)/(dx)=(4x^3+y^3)/(xy^2)	\frac{dy}{dx}=\frac{4x^{3}+y^{3}}{xy^{2}}
integral from x to 1 of 2(x+y)	\int\:_{x}^{1}2(x+y)dy
(d^8)/(dx^8)((2x+5)^7)	\frac{d^{8}}{dx^{8}}((2x+5)^{7})
(\partial)/(\partial y)(2xcos(y))	\frac{\partial\:}{\partial\:y}(2x\cos(y))
integral from 1 to 4 of-x^2+5x-4	\int\:_{1}^{4}-x^{2}+5x-4dx
integral of e^{x-2x}	\int\:e^{x-2x}dx
limit as x approaches infinity of (x-1)*e^{1/(x-1)}	\lim\:_{x\to\:\infty\:}((x-1)\cdot\:e^{\frac{1}{x-1}})
integral of \sqrt[10]{x}	\int\:\sqrt[10]{x}dx
limit as x approaches 1 of (2-2x)/(x-1)	\lim\:_{x\to\:1}(\frac{2-2x}{x-1})
integral of 1/(xsqrt(x^2+5))	\int\:\frac{1}{x\sqrt{x^{2}+5}}dx
(\partial}{\partial y}(\frac{x^2)/2)	\frac{\partial\:}{\partial\:y}(\frac{x^{2}}{2})
derivative of f(x)=xsqrt(3-x)	derivative\:f(x)=x\sqrt{3-x}
integral of 5xln(3-x)	\int\:5x\ln(3-x)dx
normal of y=(3x+1)^2,(0,1)	normal\:y=(3x+1)^{2},(0,1)
derivative of f(x)=x^5	derivative\:f(x)=x^{5}
tangent of f(x)= 1/(x^4),(-2, 1/16)	tangent\:f(x)=\frac{1}{x^{4}},(-2,\frac{1}{16})
derivative of (c^2-x^2/(2x))	\frac{d}{dx}(\frac{c^{2}-x^{2}}{2x})
integral of pi(1/(1+x^2))^2	\int\:π(\frac{1}{1+x^{2}})^{2}dx
integral from 0 to 1 of (2t)/(1+t^2)	\int\:_{0}^{1}\frac{2t}{1+t^{2}}dt
integral of r^3e^{-2r}	\int\:r^{3}e^{-2r}dr
(\partial)/(\partial x)((x/y)^z)	\frac{\partial\:}{\partial\:x}((\frac{x}{y})^{z})
integral from 1 to 2 of (9ln(x))/(x^2)	\int\:_{1}^{2}\frac{9\ln(x)}{x^{2}}dx
tangent of f(x)=x^2-1/x ,\at x=2	tangent\:f(x)=x^{2}-\frac{1}{x},\at\:x=2
d/(dy)(e^{y/x})	\frac{d}{dy}(e^{\frac{y}{x}})
y^'=((e^x))/y	y^{\prime\:}=\frac{(e^{x})}{y}
integral of (e^{3x}-1)^3	\int\:(e^{3x}-1)^{3}dx
derivative of-ln(sin(t))	derivative\:-\ln(\sin(t))
integral of (x+5)/((x^2+5)^3)	\int\:\frac{x+5}{(x^{2}+5)^{3}}dx
(\partial)/(\partial x)(x^6y-3x^5y^2)	\frac{\partial\:}{\partial\:x}(x^{6}y-3x^{5}y^{2})
(\partial)/(\partial x)(x(3-2x-y))	\frac{\partial\:}{\partial\:x}(x(3-2x-y))
derivative of \sqrt[4]{1-x^2}	\frac{d}{dx}(\sqrt[4]{1-x^{2}})
integral of e^x+5	\int\:e^{x}+5dx
integral of ,^3(x)cos(x)	\int\:,^{3}(x)\cos(x)dx
(\partial)/(\partial x)(8xy^2)	\frac{\partial\:}{\partial\:x}(8xy^{2})
integral of pi(e^{-x})^2	\int\:π(e^{-x})^{2}dx
xcos(y/x)(dy)/(dx)=ycos(y/x)-x	x\cos(\frac{y}{x})\frac{dy}{dx}=y\cos(\frac{y}{x})-x
(\partial)/(\partial x)(2/(x^2)+y)	\frac{\partial\:}{\partial\:x}(\frac{2}{x^{2}}+y)
area-4x^2+x-25,-3x^2+17x+38	area\:-4x^{2}+x-25,-3x^{2}+17x+38
derivative of (95t)/(99t-95)	derivative\:\frac{95t}{99t-95}
integral of (2x)/(x^2+100)	\int\:\frac{2x}{x^{2}+100}dx
limit as x approaches 2 of 2x-5	\lim\:_{x\to\:2}(2x-5)
integral of (-6000)/((3x+50)^2)	\int\:\frac{-6000}{(3x+50)^{2}}dx
integral of (2x-1)/(x(x^2+3x+2))	\int\:\frac{2x-1}{x(x^{2}+3x+2)}dx
2(dy)/(dt)+y=0	2\frac{dy}{dt}+y=0
derivative of (x-3/(x-4))	\frac{d}{dx}(\frac{x-3}{x-4})
derivative of e^x-pi	\frac{d}{dx}(e^{x}-π)
integral of (x^2)/(sqrt(16+x^2))	\int\:\frac{x^{2}}{\sqrt{16+x^{2}}}dx
area 1/x ,x, 1/4 x	area\:\frac{1}{x},x,\frac{1}{4}x
integral of (5x)/(x^2+4x+4)	\int\:\frac{5x}{x^{2}+4x+4}dx
taylor f(x)= 1/(sqrt(3-2x))	taylor\:f(x)=\frac{1}{\sqrt{3-2x}}
slope of (3,5),(0,-1)	slope\:(3,5),(0,-1)
integral of 2sin^2(θ/2)	\int\:2\sin^{2}(\frac{θ}{2})dθ
taylor x/((1-x^2))	taylor\:\frac{x}{(1-x^{2})}

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