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Popular Calculus Problems

integral of (sin(θ))	\int\:(\sin(θ))dθ
derivative of 3x(18x^4+(13)/(x+1))	derivative\:3x(18x^{4}+\frac{13}{x+1})
integral of sqrt(1+cos(2x-2))	\int\:\sqrt{1+\cos(2x-2)}dx
derivative of-8sin(t)	derivative\:-8\sin(t)
(12y^2-xy)dx+x^2dy=0	(12y^{2}-xy)dx+x^{2}dy=0
tangent of f(x)= 3/x ,(8, 3/8)	tangent\:f(x)=\frac{3}{x},(8,\frac{3}{8})
integral of 4/(5-3x)	\int\:\frac{4}{5-3x}dx
(\partial)/(\partial θ)(rcos(θ))	\frac{\partial\:}{\partial\:θ}(r\cos(θ))
derivative of x^{1/x}	derivative\:x^{\frac{1}{x}}
(dy)/(dt)=2(y^2-y)t	\frac{dy}{dt}=2(y^{2}-y)t
integral of sqrt(5x+4)	\int\:\sqrt{5x+4}dx
tangent of y=x^4-3x^2+10,\at x=1	tangent\:y=x^{4}-3x^{2}+10,\at\:x=1
x*y^'=y+2	x\cdot\:y^{\prime\:}=y+2
integral of (y^2+4y)^2	\int\:(y^{2}+4y)^{2}dy
derivative of 5x^3+2	derivative\:5x^{3}+2
derivative of csc(\sqrt[3]{sin(2+x^2}))	\frac{d}{dx}(\csc(\sqrt[3]{\sin(2+x^{2})}))
y^'=yxe^{x+2}-y	y^{\prime\:}=yxe^{x+2}-y
xy^{''}+2y^'=20x^2	xy^{\prime\:\prime\:}+2y^{\prime\:}=20x^{2}
integral of (2-x)^3	\int\:(2-x)^{3}dx
slope of log_{10}(x)	slope\:\log_{10}(x)
(\partial)/(\partial y)(y+z)	\frac{\partial\:}{\partial\:y}(y+z)
derivative of (sin(x)^{3x})	\frac{d}{dx}((\sin(x))^{3x})
limit as x approaches 0 of (sin(8x))/8	\lim\:_{x\to\:0}(\frac{\sin(8x)}{8})
taylor 1/(2x-1)	taylor\:\frac{1}{2x-1}
f^'(x)=-2	f^{\prime\:}(x)=-2
integral of (x-2)/(x^2+x-1)	\int\:\frac{x-2}{x^{2}+x-1}dx
integral of (1/(1-2x)-cos(x/3))	\int\:(\frac{1}{1-2x}-\cos(\frac{x}{3}))dx
integral of sin^5(4x)	\int\:\sin^{5}(4x)dx
limit as x approaches 9 of 1/(x^2)	\lim\:_{x\to\:9}(\frac{1}{x^{2}})
y^'=y^2(3+x)	y^{\prime\:}=y^{2}(3+x)
integral of cos^2(2ax)	\int\:\cos^{2}(2ax)dx
derivative of (x^2-1/(x^2+x-2))	\frac{d}{dx}(\frac{x^{2}-1}{x^{2}+x-2})
derivative of (e^{4x^2}/(x^2))	\frac{d}{dx}(\frac{e^{4x^{2}}}{x^{2}})
area x^2-10,9x	area\:x^{2}-10,9x
integral of 1/(sqrt(e^{2x)-4)}	\int\:\frac{1}{\sqrt{e^{2x}-4}}dx
integral of x^2ln(4x)	\int\:x^{2}\ln(4x)dx
limit as x approaches-pi/4 of sec(x)	\lim\:_{x\to\:-\frac{π}{4}}(\sec(x))
limit as x approaches 1 of+(1/(x^2-1))	\lim\:_{x\to\:1}(+(\frac{1}{x^{2}-1}))
integral of 3sqrt(x)	\int\:3\sqrt{x}dx
integral of sin^2(2x)cos^2(x)	\int\:\sin^{2}(2x)\cos^{2}(x)dx
limit as x approaches 0 of (1-10x)^{1/x}	\lim\:_{x\to\:0}((1-10x)^{\frac{1}{x}})
limit as x approaches infinity+of x^{(3)}e^{(-x^{(2)})}	\lim\:_{x\to\:\infty\:+}(x^{(3)}e^{(-x^{(2)})})
(dy)/(dx)y=(2cos(x))/(1+sin(x))	\frac{dy}{dx}y=\frac{2\cos(x)}{1+\sin(x)}
derivative of f(x)=(11x^2-22x+22)e^x	derivative\:f(x)=(11x^{2}-22x+22)e^{x}
derivative of (x^6/3-2x)	\frac{d}{dx}(\frac{x^{6}}{3}-2x)
integral of x^{11}e^{x^{12}}	\int\:x^{11}e^{x^{12}}dx
integral of x(2+x^2)	\int\:x(2+x^{2})dx
integral of (35)/(35+e^x)	\int\:\frac{35}{35+e^{x}}dx
sum from n=1 to infinity of 4^{-n}	\sum\:_{n=1}^{\infty\:}4^{-n}
integral of (5-50x)/(sqrt(64-25x^2))	\int\:\frac{5-50x}{\sqrt{64-25x^{2}}}dx
limit as x approaches 4+of e^{7/((4-x))}	\lim\:_{x\to\:4+}(e^{\frac{7}{(4-x)}})
derivative of 4sin(x)cos(x)	derivative\:4\sin(x)\cos(x)
area-x^2+7x,x^2-3x	area\:-x^{2}+7x,x^{2}-3x
integral of-xcos(nx)	\int\:-x\cos(nx)dx
derivative of sqrt(cos(3x))	\frac{d}{dx}(\sqrt{\cos(3x)})
inverse oflaplace e^{-s}	inverselaplace\:e^{-s}
derivative of 5x-7	derivative\:5x-7
limit as x approaches-3 of x^2-x-1	\lim\:_{x\to\:-3}(x^{2}-x-1)
derivative of sec(-4x^2-3x+2)	derivative\:\sec(-4x^{2}-3x+2)
integral from 0 to 5 of (7x-x^2-2x)	\int\:_{0}^{5}(7x-x^{2}-2x)dx
xy^'=-y+2x^2y	xy^{\prime\:}=-y+2x^{2}y
derivative of e*ln(x)	\frac{d}{dx}(e\cdot\:\ln(x))
integral of e^{x+5}(x^2+3)	\int\:e^{x+5}(x^{2}+3)dx
derivative of (x^2+5x+1(x^3-2x))	\frac{d}{dx}((x^{2}+5x+1)(x^{3}-2x))
y^'+4y=-1	y^{\prime\:}+4y=-1
(dy)/(dx)=(sqrt(y)-y)/(tan(x))	\frac{dy}{dx}=\frac{\sqrt{y}-y}{\tan(x)}
integral of 8sec^3(5x)	\int\:8\sec^{3}(5x)dx
limit as x approaches 7+of 5/(x-7)	\lim\:_{x\to\:7+}(\frac{5}{x-7})
y^'(x^2+1)=y	y^{\prime\:}(x^{2}+1)=y
derivative of (sqrt(x)+1/(sqrt(x))^2)	\frac{d}{dx}((\sqrt{x}+\frac{1}{\sqrt{x}})^{2})
d/(dt)((cos(t))/(sqrt(1+t^2)))	\frac{d}{dt}(\frac{\cos(t)}{\sqrt{1+t^{2}}})
integral of (x^5)/(sqrt(a-bx^3))	\int\:\frac{x^{5}}{\sqrt{a-bx^{3}}}dx
derivative of (x^5/(4-x^4))	\frac{d}{dx}(\frac{x^{5}}{4-x^{4}})
derivative of (5x^{9x})	\frac{d}{dx}((5x)^{9x})
derivative of x^4+3x^2	\frac{d}{dx}(x^{4}+3x^{2})
tangent of f(x)=x^4+3x^3,\at x=1	tangent\:f(x)=x^{4}+3x^{3},\at\:x=1
sum from n=1 to infinity of 2/(5^{n-1)}	\sum\:_{n=1}^{\infty\:}\frac{2}{5^{n-1}}
integral of 2xe^{x^2-1}	\int\:2xe^{x^{2}-1}dx
derivative of (x^2+2^{1/2})	\frac{d}{dx}((x^{2}+2)^{\frac{1}{2}})
integral of (sqrt(x)+1/(2sqrt(x)))	\int\:(\sqrt{x}+\frac{1}{2\sqrt{x}})dx
integral of-cos(x)(2x+1)	\int\:-\cos(x)(2x+1)dx
derivative of (ln(x)/(x^9))	\frac{d}{dx}(\frac{\ln(x)}{x^{9}})
derivative of sec(t)	derivative\:\sec(t)
limit as x approaches 0-of-6/(x^7)	\lim\:_{x\to\:0-}(-\frac{6}{x^{7}})
integral of 0.1e^{-x/(10)}	\int\:0.1e^{-\frac{x}{10}}dx
inverse oflaplace 1/(x^2+x+1)	inverselaplace\:\frac{1}{x^{2}+x+1}
integral of (5+x^9)^6x^8	\int\:(5+x^{9})^{6}x^{8}dx
derivative of 2x^3cos(3x)	\frac{d}{dx}(2x^{3}\cos(3x))
limit as x approaches 1 of 6x+a	\lim\:_{x\to\:1}(6x+a)
(\partial)/(\partial x)((x/y)-yz)	\frac{\partial\:}{\partial\:x}((\frac{x}{y})-yz)
(x/(x^2+9))^'	(\frac{x}{x^{2}+9})^{\prime\:}
(\partial)/(\partial x)(x^2+xy+y^2-2x-5y)	\frac{\partial\:}{\partial\:x}(x^{2}+xy+y^{2}-2x-5y)
derivative of f(x)=e^{5x^2-x}	derivative\:f(x)=e^{5x^{2}-x}
derivative of (3x^5-7x^2-4/(x^2))	\frac{d}{dx}(\frac{3x^{5}-7x^{2}-4}{x^{2}})
derivative of (2x^3-4x^2+3/(x^2))	\frac{d}{dx}(\frac{2x^{3}-4x^{2}+3}{x^{2}})
integral of (1/((x-y)^{1/2)})	\int\:(\frac{1}{(x-y)^{\frac{1}{2}}})dy
derivative of 3/(sqrt(x+4))	derivative\:\frac{3}{\sqrt{x+4}}
derivative of ln(x-3)	derivative\:\ln(x-3)
f(t)=2e^{-t}cos(2pit)-1	f(t)=2e^{-t}\cos(2πt)-1
integral of 2sqrt(1-x^2)	\int\:2\sqrt{1-x^{2}}dx

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