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Popular Calculus Problems

integral of e^{(x+1)^2}(x+1)	\int\:e^{(x+1)^{2}}(x+1)dx
tangent of f(x)= 1/x-2,(-1,-3)	tangent\:f(x)=\frac{1}{x}-2,(-1,-3)
derivative of g(x)=x^3*e^x	derivative\:g(x)=x^{3}\cdot\:e^{x}
integral from 0 to pi/6 of (3sec^2(x))	\int\:_{0}^{\frac{π}{6}}(3\sec^{2}(x))dx
integral of 3cos(t)	\int\:3\cos(t)dt
limit as x approaches 3pi+of 1+csc(x)	\lim\:_{x\to\:3π+}(1+\csc(x))
(5^x)^'	(5^{x})^{\prime\:}
(\partial)/(\partial x)(14x^3cos(7x^2y))	\frac{\partial\:}{\partial\:x}(14x^{3}\cos(7x^{2}y))
area f(x)=4,g(x)=(e^x)/5 ,x=0	area\:f(x)=4,g(x)=\frac{e^{x}}{5},x=0
(y-yx^2)((dy)/(dx))=(y+1)^2	(y-yx^{2})(\frac{dy}{dx})=(y+1)^{2}
derivative of sqrt(7-2x^2)	\frac{d}{dx}(\sqrt{7-2x^{2}})
tangent of 3+4x^2-2x^3	tangent\:3+4x^{2}-2x^{3}
inverse oflaplace (s-1)/(s^2+1)	inverselaplace\:\frac{s-1}{s^{2}+1}
(\partial)/(\partial y)(xe^y+1)	\frac{\partial\:}{\partial\:y}(xe^{y}+1)
integral of 1/(csc(2x))	\int\:\frac{1}{\csc(2x)}dx
limit as x approaches-1 of sqrt(x+2)	\lim\:_{x\to\:-1}(\sqrt{x+2})
integral of (-8sin(4x)+3cos(4x))	\int\:(-8\sin(4x)+3\cos(4x))dx
integral of 1/(2x^2+2x)	\int\:\frac{1}{2x^{2}+2x}dx
area 4sqrt(x),(4x)/3	area\:4\sqrt{x},\frac{4x}{3}
(dx}{dt}=\frac{4t)/x	\frac{dx}{dt}=\frac{4t}{x}
derivative of f(x)=(ln(x))/(38+x)	derivative\:f(x)=\frac{\ln(x)}{38+x}
integral of (5x^2+20x+6)/(x^3+2x^2+x)	\int\:\frac{5x^{2}+20x+6}{x^{3}+2x^{2}+x}dx
y^'-4y=0.8	y^{\prime\:}-4y=0.8
expand (x-1)^2(x-2)(x-4)	expand\:(x-1)^{2}(x-2)(x-4)
integral of sinh(3u)	\int\:\sinh(3u)du
derivative of (-x^2)	\frac{d}{dx}((-x)^{2})
sum from n=1 to infinity of (n^3)/(3^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{3}}{3^{n}}
(dy)/(dx)+3y=e^{3x}	\frac{dy}{dx}+3y=e^{3x}
(3^{2x})^'	(3^{2x})^{\prime\:}
derivative of (x-2)^4	derivative\:(x-2)^{4}
(\partial)/(\partial x)(e^{-4x^2-3y^2})	\frac{\partial\:}{\partial\:x}(e^{-4x^{2}-3y^{2}})
derivative of 5sec(5x)	derivative\:5\sec(5x)
derivative of ln(5x+4)	\frac{d}{dx}(\ln(5x+4))
limit as x approaches-4 of (2x^3-3x^2)^2	\lim\:_{x\to\:-4}((2x^{3}-3x^{2})^{2})
derivative of (2x^3-4x^2+3/x)	\frac{d}{dx}(\frac{2x^{3}-4x^{2}+3}{x})
(\partial)/(\partial x)(-9e^{-5xy})	\frac{\partial\:}{\partial\:x}(-9e^{-5xy})
integral from 0 to pi/6 of cos^2(3x)	\int\:_{0}^{\frac{π}{6}}\cos^{2}(3x)dx
integral of cot^3(8x)	\int\:\cot^{3}(8x)dx
integral of 3/2 sin(x)	\int\:\frac{3}{2}\sin(x)dx
tangent of f(x)=2x^2-5x+3,\at a=1	tangent\:f(x)=2x^{2}-5x+3,\at\:a=1
derivative of (y^2+x^2e^{y^2-x^2})	\frac{d}{dx}((y^{2}+x^{2})e^{y^{2}-x^{2}})
derivative of-20x^3+12x^2-20	\frac{d}{dx}(-20x^{3}+12x^{2}-20)
derivative of arctan((5x/4))	\frac{d}{dx}(\arctan(\frac{5x}{4}))
derivative of e^x(x+6)	\frac{d}{dx}(e^{x}(x+6))
limit as x approaches-9 of (9-\|x\|)/(9+x)	\lim\:_{x\to\:-9}(\frac{9-\left\|x\right\|}{9+x})
integral of e^{-x}sin(wx)	\int\:e^{-x}\sin(wx)dx
derivative of x^2y+y^2	\frac{d}{dx}(x^{2}y+y^{2})
integral of (2x+1)(2x^2+2x)^{3/4}	\int\:(2x+1)(2x^{2}+2x)^{\frac{3}{4}}dx
(\partial)/(\partial x)(5z^2cot(xz))	\frac{\partial\:}{\partial\:x}(5z^{2}\cot(xz))
integral of xcos(x)	\int\:x\cos(x)dx
derivative of x^2+(2000/x)	\frac{d}{dx}(x^{2}+\frac{2000}{x})
(dy)/(dx)=x^2(y-1)	\frac{dy}{dx}=x^{2}(y-1)
derivative of (2x/(x^4))	\frac{d}{dx}(\frac{2x}{x^{4}})
integral from 0 to 1 of ln(4-2x)	\int\:_{0}^{1}\ln(4-2x)dx
integral of 1/(x(\sqrt[5]{x))}	\int\:\frac{1}{x(\sqrt[5]{x})}dx
integral of xe^{-1}	\int\:xe^{-1}dx
area y=1+\sqrt[3]{x},x=0,x=8,y=0	area\:y=1+\sqrt[3]{x},x=0,x=8,y=0
derivative of (2x^2-1/((x-1)^2))	\frac{d}{dx}(\frac{2x^{2}-1}{(x-1)^{2}})
(\partial)/(\partial x)(x^8+2^y+x^y)	\frac{\partial\:}{\partial\:x}(x^{8}+2^{y}+x^{y})
y^'= x/(y^2)	y^{\prime\:}=\frac{x}{y^{2}}
t(dy)/(dt)+2y=t^2	t\frac{dy}{dt}+2y=t^{2}
integral from 1 to 9 of (3x-2)/(sqrt(x))	\int\:_{1}^{9}\frac{3x-2}{\sqrt{x}}dx
integral of sec^3(5x)tan^2(5x)	\int\:\sec^{3}(5x)\tan^{2}(5x)dx
(dy)/(dx)=y	\frac{dy}{dx}=y
(\partial)/(\partial x)(m/x)	\frac{\partial\:}{\partial\:x}(\frac{m}{x})
integral of 1/((x+1)^2)	\int\:\frac{1}{(x+1)^{2}}dx
tangent of f(x)= 9/(8-x)	tangent\:f(x)=\frac{9}{8-x}
tangent of-3x^{3/2}-1,\at x=4	tangent\:-3x^{\frac{3}{2}}-1,\at\:x=4
(\partial)/(\partial x)((e^y)/(x+y^2))	\frac{\partial\:}{\partial\:x}(\frac{e^{y}}{x+y^{2}})
derivative of f(x)=2x^2-3x+4	derivative\:f(x)=2x^{2}-3x+4
integral of 7/((x^2+3x-10))	\int\:\frac{7}{(x^{2}+3x-10)}dx
limit as x approaches 0 of x^2*sin(1/(x^2))	\lim\:_{x\to\:0}(x^{2}\cdot\:\sin(\frac{1}{x^{2}}))
integral of sin^5(x	\int\:\sin^{5}(d)xdx
derivative of tan(θ)	derivative\:\tan(θ)
(\partial)/(\partial x)(z)	\frac{\partial\:}{\partial\:x}(z)
area-x^3+x^2+16x,4x,0,4	area\:-x^{3}+x^{2}+16x,4x,0,4
tangent of f(x)=(4x+5)^4,\at x=-1	tangent\:f(x)=(4x+5)^{4},\at\:x=-1
sum from n=1 to infinity of n/(3n+1)	\sum\:_{n=1}^{\infty\:}\frac{n}{3n+1}
(\partial)/(\partial x)(1/x cos(y/x))	\frac{\partial\:}{\partial\:x}(\frac{1}{x}\cos(\frac{y}{x}))
y^'=((2y+3)/(4x+5))^2	y^{\prime\:}=(\frac{2y+3}{4x+5})^{2}
integral of 1/((25x^2+4)^2)	\int\:\frac{1}{(25x^{2}+4)^{2}}dx
derivative of f(x)=(3x^3+9x+7)(x^2+8)	derivative\:f(x)=(3x^{3}+9x+7)(x^{2}+8)
solvefor x,f=fe^{1/f}	solvefor\:x,f=fe^{\frac{1}{f}}
limit as x approaches-2-of [x]	\lim\:_{x\to\:-2-}([x])
derivative of 2+2/x+6/(x^2)	derivative\:2+\frac{2}{x}+\frac{6}{x^{2}}
(\partial)/(\partial y)(y^x)	\frac{\partial\:}{\partial\:y}(y^{x})
integral of (sqrt(x^4+x^{-4)+2})/(x^3)	\int\:\frac{\sqrt{x^{4}+x^{-4}+2}}{x^{3}}dx
tangent of sqrt(4x+84)	tangent\:\sqrt{4x+84}
derivative of arcsec(6x)	derivative\:\arcsec(6x)
(\partial)/(\partial x)(e^xg)	\frac{\partial\:}{\partial\:x}(e^{x}g)
36y^{''}-36y^'-7y=0	36y^{\prime\:\prime\:}-36y^{\prime\:}-7y=0
limit as x approaches a of f(x)	\lim\:_{x\to\:a}(f(x))
integral of e^{-t}sin(t)	\int\:e^{-t}\sin(t)dt
integral of (3x^2+x-2)	\int\:(3x^{2}+x-2)dx
d/(dθ)(csc(θ))	\frac{d}{dθ}(\csc(θ))
limit as x approaches infinity of-2^x	\lim\:_{x\to\:\infty\:}(-2^{x})
integral of 20\sqrt[3]{3x-2}	\int\:20\sqrt[3]{3x-2}dx
integral of e^{12x}*x^3	\int\:e^{12x}\cdot\:x^{3}dx
limit as x approaches-4 of x^3-4x^2+7	\lim\:_{x\to\:-4}(x^{3}-4x^{2}+7)
3y^{''}-12y^'+9y=3sin(4x)	3y^{\prime\:\prime\:}-12y^{\prime\:}+9y=3\sin(4x)

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