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Popular Calculus Problems

derivative of (x^2+2x+2^{sin(x)})	\frac{d}{dx}((x^{2}+2x+2)^{\sin(x)})
y^'+y=xy^4	y^{\prime\:}+y=xy^{4}
limit as x approaches infinity of 3+2/x	\lim\:_{x\to\:\infty\:}(3+\frac{2}{x})
f(y)=y	f(y)=y
derivative of 3x^3-2x	\frac{d}{dx}(3x^{3}-2x)
integral of sec^4(2x)	\int\:\sec^{4}(2x)dx
limit as x approaches 4-of e^{1/(x-4)}	\lim\:_{x\to\:4-}(e^{\frac{1}{x-4}})
integral of ((4+sqrt(x)-3x))/x	\int\:\frac{(4+\sqrt{x}-3x)}{x}dx
derivative of (x^2/4-(ln(x))/2)	\frac{d}{dx}(\frac{x^{2}}{4}-\frac{\ln(x)}{2})
limit as x approaches-9 of-12	\lim\:_{x\to\:-9}(-12)
area f(x)=-sin(x),0,2pi	area\:f(x)=-\sin(x),0,2π
derivative of (sech(5x)^2)	\frac{d}{dx}((\sech(5x))^{2})
integral of 1/(8x+9)	\int\:\frac{1}{8x+9}dx
derivative of 4/3 pir^3	derivative\:\frac{4}{3}pir^{3}
derivative of 7sin(x)+7cos(x)	derivative\:7\sin(x)+7\cos(x)
integral of (x^2+4x^{-2})	\int\:(x^{2}+4x^{-2})dx
integral of sin(x)e^{-x}	\int\:\sin(x)e^{-x}dx
integral of 3sin^2(xco)s^3x	\int\:3\sin^{2}(xco)s^{3}xdx
integral from 0 to 4 of 1/(x+2)	\int\:_{0}^{4}\frac{1}{x+2}dx
(d^2y)/(dx^2)-2(dy)/(dx)+2y=0	\frac{d^{2}y}{dx^{2}}-2\frac{dy}{dx}+2y=0
integral of (2z)/(1-z^2)	\int\:\frac{2z}{1-z^{2}}dz
limit as x approaches 0+of 4/(x^2)	\lim\:_{x\to\:0+}(\frac{4}{x^{2}})
integral of 2xy^3z^4	\int\:2xy^{3}z^{4}dx
integral of (y-2)/(y+3)	\int\:\frac{y-2}{y+3}dy
(\partial)/(\partial s)(s^2t^2)	\frac{\partial\:}{\partial\:s}(s^{2}t^{2})
derivative of x/(1+4x^2)	\frac{d}{dx}(\frac{x}{1+4x^{2}})
integral of k/x	\int\:\frac{k}{x}dx
integral of-x/(e^x)	\int\:-\frac{x}{e^{x}}dx
integral of (4-x)^2	\int\:(4-x)^{2}dx
derivative of e^{(-x^2)/2}	derivative\:e^{\frac{-x^{2}}{2}}
derivative of (4x/((x^2+1)^2))	\frac{d}{dx}(\frac{4x}{(x^{2}+1)^{2}})
integral from 0 to 1 of-(6y)/(e^{2y)}	\int\:_{0}^{1}-\frac{6y}{e^{2y}}dy
limit as x approaches 3 of e^{7/((x-3))}	\lim\:_{x\to\:3}(e^{\frac{7}{(x-3)}})
integral of 9t^{11}cos(1-t^6)	\int\:9t^{11}\cos(1-t^{6})dt
integral of ((x^4-x^3-x-1))/(x^3-x^2)	\int\:\frac{(x^{4}-x^{3}-x-1)}{x^{3}-x^{2}}dx
integral of 85-3sqrt(25-x)	\int\:85-3\sqrt{25-x}dx
integral of u/1	\int\:\frac{u}{1}du
derivative of 6x^{-2}+9x^{-1}	\frac{d}{dx}(6x^{-2}+9x^{-1})
derivative of 2sqrt(x)-x	\frac{d}{dx}(2\sqrt{x}-x)
sum from n=1 to infinity of (n^2)/(e^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{2}}{e^{n}}
6y^'-2y=xy^4	6y^{\prime\:}-2y=xy^{4}
limit as x approaches infinity of sqrt(x^2-9),+x	\lim\:_{x\to\:\infty\:}(\sqrt{x^{2}-9},+x)
limit as x approaches infinity of 3x^3	\lim\:_{x\to\:\infty\:}(3x^{3})
y^{''}-3y^'+2y=2e^t,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-3y^{\prime\:}+2y=2e^{t},y(0)=0,y^{\prime\:}(0)=0
limit as x approaches 0 of 1/x-1	\lim\:_{x\to\:0}(\frac{1}{x}-1)
integral of e^{ln(x^2)}	\int\:e^{\ln(x^{2})}dx
integral of sec^2(5x)tan^6(5x)	\int\:\sec^{2}(5x)\tan^{6}(5x)dx
tangent of f(x)=x^2-49x-456,\at x=2	tangent\:f(x)=x^{2}-49x-456,\at\:x=2
derivative of sqrt(1+cot^2(x))	\frac{d}{dx}(\sqrt{1+\cot^{2}(x)})
integral of (x^2+8)e^{-x}	\int\:(x^{2}+8)e^{-x}dx
limit as x approaches infinity of 6/x	\lim\:_{x\to\:\infty\:}(\frac{6}{x})
tangent of y=sqrt(3x+1),(5,16)	tangent\:y=\sqrt{3x+1},(5,16)
derivative of (c^2-x^2)/(c^2+x^2)	derivative\:\frac{c^{2}-x^{2}}{c^{2}+x^{2}}
sum from n=0 to infinity of n+1	\sum\:_{n=0}^{\infty\:}n+1
(\partial)/(\partial x)(4/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{4}{x^{2}+y^{2}})
(\partial)/(\partial x)((-2x)/(x^2+y^2+1))	\frac{\partial\:}{\partial\:x}(\frac{-2x}{x^{2}+y^{2}+1})
limit as x approaches 0 of (x-1)/(x^2-1)	\lim\:_{x\to\:0}(\frac{x-1}{x^{2}-1})
derivative of (x^2+1)(x+5+1/x)	derivative\:(x^{2}+1)(x+5+\frac{1}{x})
(\partial)/(\partial y)(4xe^{x^2+y^2})	\frac{\partial\:}{\partial\:y}(4xe^{x^{2}+y^{2}})
y^'=(3x-2)^2(30x+29)	y^{\prime\:}=(3x-2)^{2}(30x+29)
ty^'+(t+1)y=2te^{-t}	ty^{\prime\:}+(t+1)y=2te^{-t}
inverse oflaplace (2s+12)/(s^2+6s+18)	inverselaplace\:\frac{2s+12}{s^{2}+6s+18}
integral of (5x^3-4x)/(sqrt(1-x^4))	\int\:\frac{5x^{3}-4x}{\sqrt{1-x^{4}}}dx
integral from 0 to 1 of (x-7)/(x^2-5x+6)	\int\:_{0}^{1}\frac{x-7}{x^{2}-5x+6}dx
y^'+6y=e^{4t}	y^{\prime\:}+6y=e^{4t}
derivative of sec^5(sqrt(x^2-1))	\frac{d}{dx}(\sec^{5}(\sqrt{x^{2}-1}))
derivative of sqrt(3x^2+1)	derivative\:\sqrt{3x^{2}+1}
f(x)=x^{1/9}	f(x)=x^{\frac{1}{9}}
tangent of f(x)=2x(2-4x)^4,\at x=1	tangent\:f(x)=2x(2-4x)^{4},\at\:x=1
derivative of \sqrt[x-2]{2}	\frac{d}{dx}(\sqrt[x-2]{2})
integral of (tan^2(x))/(sec^3(x))	\int\:\frac{\tan^{2}(x)}{\sec^{3}(x)}dx
(t^2+1)(dy)/(dt)=2y	(t^{2}+1)\frac{dy}{dt}=2y
(\partial)/(\partial x)(x^8+8xy^7)	\frac{\partial\:}{\partial\:x}(x^{8}+8xy^{7})
integral of 1^3	\int\:1dx^{3}
f(x)=(x^2)/(ln(x))	f(x)=\frac{x^{2}}{\ln(x)}
derivative of 2x^2-6x	\frac{d}{dx}(2x^{2}-6x)
integral of 4x^{-1}	\int\:4x^{-1}dx
(\partial)/(\partial x)(e^{6xy})	\frac{\partial\:}{\partial\:x}(e^{6xy})
integral from 3 to 5 of 8x^{-3}	\int\:_{3}^{5}8x^{-3}dx
integral from 1 to 7 of w^2ln(w)	\int\:_{1}^{7}w^{2}\ln(w)dw
derivative of 4x^2+3x	derivative\:4x^{2}+3x
integral from 9 to 18 of sqrt(324-x^2)	\int\:_{9}^{18}\sqrt{324-x^{2}}dx
integral of cot(11x)	\int\:\cot(11x)dx
derivative of 2/(sqrt(1+4x))	\frac{d}{dx}(\frac{2}{\sqrt{1+4x}})
slope of (16,-2),(15,86)	slope\:(16,-2),(15,86)
derivative of-(200)/((t+2)^2)	derivative\:-\frac{200}{(t+2)^{2}}
derivative of 3/x+5sin(x)	\frac{d}{dx}(\frac{3}{x}+5\sin(x))
inverse oflaplace 3/(2(s+1)^2+32)	inverselaplace\:\frac{3}{2(s+1)^{2}+32}
integral of tan^4(6x)	\int\:\tan^{4}(6x)dx
derivative of sqrt(5x+3)	derivative\:\sqrt{5x+3}
integral of (10)/(x-5)	\int\:\frac{10}{x-5}dx
tangent of f(x)=2x^2-7x+5,\at x=3	tangent\:f(x)=2x^{2}-7x+5,\at\:x=3
integral from 0 to t of cos(x^2)	\int\:_{0}^{t}\cos(x^{2})dx
(\partial)/(\partial x)(cos(4θ))	\frac{\partial\:}{\partial\:x}(\cos(4θ))
integral of (sin^2(x))/(1+cos(x))	\int\:\frac{\sin^{2}(x)}{1+\cos(x)}dx
derivative of y=x+cos(x)	derivative\:y=x+\cos(x)
derivative of x/1	\frac{d}{dx}(\frac{x}{1})
derivative of f(x)=(12x)/(1-x)	derivative\:f(x)=\frac{12x}{1-x}
(dy)/(dx)=y(1-y^2)	\frac{dy}{dx}=y(1-y^{2})
derivative of f(x)= 1/(\sqrt[3]{x^2-1)}	derivative\:f(x)=\frac{1}{\sqrt[3]{x^{2}-1}}

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