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Popular Calculus Problems

integral from 0 to 5 of 3x	\int\:_{0}^{5}3xdx
integral of e^x*x^2	\int\:e^{x}\cdot\:x^{2}dx
area-2x^3+17x^2-19x-14,[0,x]	area\:-2x^{3}+17x^{2}-19x-14,[0,x]
integral of (cos^3(4x))/(sin^4(4x))	\int\:\frac{\cos^{3}(4x)}{\sin^{4}(4x)}dx
derivative of (x-1/x ^3)	\frac{d}{dx}((x-\frac{1}{x})^{3})
integral of (7x^3+7x)/(x-1)	\int\:\frac{7x^{3}+7x}{x-1}dx
y^'+5y=t+e^{-2t}	y^{\prime\:}+5y=t+e^{-2t}
area y=7x-x^2,y=2x	area\:y=7x-x^{2},y=2x
integral from 1 to 4 of (3x+5)	\int\:_{1}^{4}(3x+5)dx
integral of (3sin(x))^2	\int\:(3\sin(x))^{2}dx
integral of 1/(3x-2)	\int\:\frac{1}{3x-2}dx
derivative of 12cos(3x)	\frac{d}{dx}(12\cos(3x))
implicit (dy)/(dx),4x^2+6y^2=24x	implicit\:\frac{dy}{dx},4x^{2}+6y^{2}=24x
integral of (x-3)^6	\int\:(x-3)^{6}dx
derivative of (a-bx^2)	\frac{d}{dx}((a-bx)^{2})
derivative of 3f(x+2x)x=5	\frac{d}{dx}(3f(x)+2x)x=5
derivative of (x+7/(8x^2e^x))	\frac{d}{dx}(\frac{x+7}{8x^{2}e^{x}})
integral of (4-e^{2x})/(e^{2x)}	\int\:\frac{4-e^{2x}}{e^{2x}}dx
integral from 0 to 12 of 1/(144+x^2)	\int\:_{0}^{12}\frac{1}{144+x^{2}}dx
(\partial)/(\partial x)(4sin(2x))	\frac{\partial\:}{\partial\:x}(4\sin(2x))
integral of 1/(x^3-64)	\int\:\frac{1}{x^{3}-64}dx
(pi/x)^'	(\frac{π}{x})^{\prime\:}
(\partial)/(\partial h)(pi/3 h^2(3r-h))	\frac{\partial\:}{\partial\:h}(\frac{π}{3}h^{2}(3r-h))
derivative of cos(sqrt(x)-7x^2)	\frac{d}{dx}(\cos(\sqrt{x}-7x^{2}))
integral of (2sqrt(x))/(x^3+1)	\int\:\frac{2\sqrt{x}}{x^{3}+1}dx
integral of e^{t/(10)}	\int\:e^{\frac{t}{10}}dt
integral of (tan(x))/(sqrt(cos(x)))	\int\:\frac{\tan(x)}{\sqrt{\cos(x)}}dx
14y^{''}+y^'+y=x^2-2x	14y^{\prime\:\prime\:}+y^{\prime\:}+y=x^{2}-2x
(\partial)/(\partial y)(2xy^2)	\frac{\partial\:}{\partial\:y}(2xy^{2})
integral from 0 to 8pi of x^2sin(2x)	\int\:_{0}^{8π}x^{2}\sin(2x)dx
derivative of sin(tan(ln(sqrt(x^2+5))))	derivative\:\sin(\tan(\ln(\sqrt{x^{2}+5})))
derivative of f(x)=-15x^2-14x+8	derivative\:f(x)=-15x^{2}-14x+8
laplacetransform t^3e^{-0.1t}	laplacetransform\:t^{3}e^{-0.1t}
integral from 1 to infinity of 1/(e^x)	\int\:_{1}^{\infty\:}\frac{1}{e^{x}}dx
integral of sin(3x)sin(5x)	\int\:\sin(3x)\sin(5x)dx
integral of 8cos(t)	\int\:8\cos(t)dt
(dy)/(dx)= y/(1+x)	\frac{dy}{dx}=\frac{y}{1+x}
integral from 1 to 2 of 1/(x-1)	\int\:_{1}^{2}\frac{1}{x-1}dx
(\partial)/(\partial w)(w/({h)(w)(w)^2})	\frac{\partial\:}{\partial\:w}(\frac{w}{{h}(w)(w)^{2}})
derivative of e^{-x}(4-x-2)	\frac{d}{dx}(e^{-x}(4-x)-2)
inverse oflaplace (6s+2)/(s(9s^2+6s+2))	inverselaplace\:\frac{6s+2}{s(9s^{2}+6s+2)}
derivative of (2x/(125))	\frac{d}{dx}(\frac{2x}{125})
tangent of 6/(x^2+2)	tangent\:\frac{6}{x^{2}+2}
derivative of (e^x(x-2)/(x^3))	\frac{d}{dx}(\frac{e^{x}(x-2)}{x^{3}})
derivative of f(x)= 3/(4x+1)	derivative\:f(x)=\frac{3}{4x+1}
limit as x approaches 1-of-1/(x-1)	\lim\:_{x\to\:1-}(-\frac{1}{x-1})
(\partial)/(\partial x)(x^3-6xy+8y^3)	\frac{\partial\:}{\partial\:x}(x^{3}-6xy+8y^{3})
sum from n=1 to infinity of (n^0)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{0}}{4^{n}}
limit as x approaches 7 of sqrt(6(7)-2)	\lim\:_{x\to\:7}(\sqrt{6(7)-2})
derivative of 7x^7(7-x^8)	\frac{d}{dx}(7x^{7}(7-x)^{8})
limit as x approaches infinity of (1+1/(7x))^{9x}	\lim\:_{x\to\:\infty\:}((1+\frac{1}{7x})^{9x})
derivative of-x^2+2x	\frac{d}{dx}(-x^{2}+2x)
limit as x approaches infinity of cos((xpi)/(x+1))	\lim\:_{x\to\:\infty\:}(\cos(\frac{xπ}{x+1}))
(dx)/(dt)	\frac{dx}{dt}
limit as x approaches infinity of 3x-2	\lim\:_{x\to\:\infty\:}(3x-2)
integral from 1 to 4 of 2x	\int\:_{1}^{4}2xdx
derivative of y*cos(x)	\frac{d}{dx}(y\cdot\:\cos(x))
derivative of a(1-sin(x))	\frac{d}{dx}(a(1-\sin(x)))
derivative of 7+x^2	\frac{d}{dx}(7+x^{2})
integral of 1/(x(x))	\int\:\frac{1}{x(x)}dx
integral of 8/(x^2+4)	\int\:\frac{8}{x^{2}+4}dx
integral of x^3(x^4+1)^2	\int\:x^{3}(x^{4}+1)^{2}dx
integral of cos^3(x/(11))	\int\:\cos^{3}(\frac{x}{11})dx
derivative of x^3sec(x)	\frac{d}{dx}(x^{3}\sec(x))
limit as x approaches-1/3 of 9x(4x+9)^2	\lim\:_{x\to\:-\frac{1}{3}}(9x(4x+9)^{2})
integral of (9/(sqrt(x)))	\int\:(\frac{9}{\sqrt{x}})dx
derivative of arccsc(-9t^2)	derivative\:\arccsc(-9t^{2})
integral of (x+7)/(x^2+9)	\int\:\frac{x+7}{x^{2}+9}dx
integral of 1/(v^2)	\int\:\frac{1}{v^{2}}dv
derivative of sec^n(x)	\frac{d}{dx}(\sec^{n}(x))
limit as x approaches 3 of x-3	\lim\:_{x\to\:3}(x-3)
derivative of y=(ln(x))^6	derivative\:y=(\ln(x))^{6}
integral from 0 to 1 of integral from 2x to 2 of (x-y)	\int\:_{0}^{1}\int\:_{2x}^{2}(x-y)dydx
derivative of (sin(x))/(4x)	derivative\:\frac{\sin(x)}{4x}
integral of 0.4x	\int\:0.4xdx
derivative of (x+(x^2-4^3)^{10})	\frac{d}{dx}((x+(x^{2}-4)^{3})^{10})
limit as x approaches 0+of x/(-4x^3-8x)	\lim\:_{x\to\:0+}(\frac{x}{-4x^{3}-8x})
(\partial)/(\partial x)((x+y)e^{x+2y})	\frac{\partial\:}{\partial\:x}((x+y)e^{x+2y})
integral of (x^2+2)/(x^2-x)	\int\:\frac{x^{2}+2}{x^{2}-x}dx
integral of ((cos(x)+sin(2x)))/(sin(x))	\int\:\frac{(\cos(x)+\sin(2x))}{\sin(x)}dx
integral of 5x+4y	\int\:5x+4ydx
derivative of ((sqrt(x)-6))/(sqrt(x)+6)	derivative\:\frac{(\sqrt{x}-6)}{\sqrt{x}+6}
derivative of (ln(x+4)^2)	\frac{d}{dx}((\ln(x+4))^{2})
f(t)=4e^t	f(t)=4e^{t}
d/(dt)(\sqrt[3]{t^2})	\frac{d}{dt}(\sqrt[3]{t^{2}})
limit as x approaches 0-of (x^2)/6-7/x	\lim\:_{x\to\:0-}(\frac{x^{2}}{6}-\frac{7}{x})
limit as x approaches infinity of 3*x^3	\lim\:_{x\to\:\infty\:}(3\cdot\:x^{3})
integral of x^2sqrt(3-x)	\int\:x^{2}\sqrt{3-x}dx
derivative of (ln(x)/(x^2ln(x^2)))	\frac{d}{dx}(\frac{\ln(x)}{x^{2}\ln(x^{2})})
3(dy)/(dx)+12y=4	3\frac{dy}{dx}+12y=4
(\partial)/(\partial y)(4xsin(xy))	\frac{\partial\:}{\partial\:y}(4x\sin(xy))
(dx)/(dt)=1.2x(1-x/(4200))	\frac{dx}{dt}=1.2x(1-\frac{x}{4200})
(\partial}{\partial x}(\frac{(2pi*l))/x)	\frac{\partial\:}{\partial\:x}(\frac{(2π\cdot\:l)}{x})
integral of x^3+2x^2-1	\int\:x^{3}+2x^{2}-1dx
y^'=(5x+7/x)(7x^2-6)	y^{\prime\:}=(5x+\frac{7}{x})(7x^{2}-6)
slope of (-2.4)(9.4)	slope\:(-2.4)(9.4)
limit as x approaches 0 of (1-1)/x	\lim\:_{x\to\:0}(\frac{1-1}{x})
integral of 7/(x(x^2+1))	\int\:\frac{7}{x(x^{2}+1)}dx
limit as x approaches 1 of (2x+1)/(1-x)	\lim\:_{x\to\:1}(\frac{2x+1}{1-x})
slope of (-3.1)(5.1)	slope\:(-3.1)(5.1)

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