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Popular Calculus Problems
integral of sin(x)+5
\int\:\sin(x)+5dx
integral of (ln(x))/(16)
\int\:\frac{\ln(x)}{16}dx
derivative of (3-4xe^{-2x^2})
\frac{d}{dx}((3-4x)e^{-2x^{2}})
derivative of (x^3-3x^2+4x-5/(x^2))
\frac{d}{dx}(\frac{x^{3}-3x^{2}+4x-5}{x^{2}})
limit as x approaches-infinity of 8^x
\lim\:_{x\to\:-\infty\:}(8^{x})
limit as n approaches infinity of (((n+1)^3))/(5^{n+1)}
\lim\:_{n\to\:\infty\:}(\frac{((n+1)^{3})}{5^{n+1}})
x^2y^{''}+5xy^'+3y=0
x^{2}y^{\prime\:\prime\:}+5xy^{\prime\:}+3y=0
derivative of x^{\sqrt[8]{x}}
\frac{d}{dx}(x^{\sqrt[8]{x}})
limit as x approaches 0 of-arctan(x/2)
\lim\:_{x\to\:0}(-\arctan(\frac{x}{2}))
f^'(x)=-4x^3+2x^2-7
f^{\prime\:}(x)=-4x^{3}+2x^{2}-7
tangent of f(x)=x+2cos(x),\at x=0
tangent\:f(x)=x+2\cos(x),\at\:x=0
tangent of y=3x^3-2x,(-1,-1)
tangent\:y=3x^{3}-2x,(-1,-1)
integral of-0.2x+43
\int\:-0.2x+43dx
derivative of (7+2x)/(9-8x)
derivative\:\frac{7+2x}{9-8x}
derivative of (4+3x^2)
\frac{d}{dx}((4+3x)^{2})
integral of 15e^{-5x}
\int\:15e^{-5x}dx
integral of 200
\int\:200dx
limit as x approaches 0 of x-|x|
\lim\:_{x\to\:0}(x-\left|x\right|)
du= 1/x dx
du=\frac{1}{x}dx
integral of (12e^x-5x^{-2})
\int\:(12e^{x}-5x^{-2})dx
derivative of (x^2-1/(x^2)^6)
\frac{d}{dx}((x^{2}-\frac{1}{x^{2}})^{6})
integral from 5/2 to 5 of sqrt(25-x^2)
\int\:_{\frac{5}{2}}^{5}\sqrt{25-x^{2}}dx
integral of (sin(2x))/(46+cos^2(x))
\int\:\frac{\sin(2x)}{46+\cos^{2}(x)}dx
derivative of ((x+9))/(sqrt(x))
derivative\:\frac{(x+9)}{\sqrt{x}}
d/(dt)(1/(t^4))
\frac{d}{dt}(\frac{1}{t^{4}})
derivative of-1/(sqrt(x))
derivative\:-\frac{1}{\sqrt{x}}
integral of 8xcos(5x)
\int\:8x\cos(5x)dx
y^{''}+9y^'=1
y^{\prime\:\prime\:}+9y^{\prime\:}=1
limit as x approaches-2 of (2x)/(x^2-4)
\lim\:_{x\to\:-2}(\frac{2x}{x^{2}-4})
integral of (x^6-x^3+25)/(x^4+5x^2)
\int\:\frac{x^{6}-x^{3}+25}{x^{4}+5x^{2}}dx
f(x)=e^2x
f(x)=e^{2}x
derivative of sec(x^3e^x)
\frac{d}{dx}(\sec(x^{3}e^{x}))
integral of sqrt(2sin(x)+2)
\int\:\sqrt{2\sin(x)+2}dx
integral of (x^2)/(sqrt(5-x^2))
\int\:\frac{x^{2}}{\sqrt{5-x^{2}}}dx
limit as x approaches+pi of (5x)/3
\lim\:_{x\to\:+π}(\frac{5x}{3})
derivative of y=(8x^2+8x+4)/(sqrt(x))
derivative\:y=\frac{8x^{2}+8x+4}{\sqrt{x}}
integral of sqrt(5^x)
\int\:\sqrt{5^{x}}dx
(\partial)/(\partial x)(arctan(cos(x)))
\frac{\partial\:}{\partial\:x}(\arctan(\cos(x)))
(\partial)/(\partial y)(3(x-y)e^{3y+2x^2})
\frac{\partial\:}{\partial\:y}(3(x-y)e^{3y+2x^{2}})
(dy)/(dx)=0.5y-450
\frac{dy}{dx}=0.5y-450
derivative of 2xcos(x)
derivative\:2x\cos(x)
integral of 1/(4+(x-3)^2)
\int\:\frac{1}{4+(x-3)^{2}}dx
area x^2,x+2
area\:x^{2},x+2
tangent of x^3-3x+1
tangent\:x^{3}-3x+1
integral of (sin(pix))
\int\:(\sin(πx))dx
(\partial)/(\partial y)(5ze^{xyz})
\frac{\partial\:}{\partial\:y}(5ze^{xyz})
integral of e^{-x}sin(2x)
\int\:e^{-x}\sin(2x)dx
(\partial)/(\partial x)(e^{xy}tan(y))
\frac{\partial\:}{\partial\:x}(e^{xy}\tan(y))
limit as h approaches 0 of ((sqrt(18h+1)-1))/h
\lim\:_{h\to\:0}(\frac{(\sqrt{18h+1}-1)}{h})
integral of (sqrt(9x^2+16))/(x^4)
\int\:\frac{\sqrt{9x^{2}+16}}{x^{4}}dx
integral of 2x(x^2-1)
\int\:2x(x^{2}-1)dx
derivative of y=((x^2+3)/(x^2-3))^7
derivative\:y=(\frac{x^{2}+3}{x^{2}-3})^{7}
limit as x approaches 2 of x^2+5x-9
\lim\:_{x\to\:2}(x^{2}+5x-9)
derivative of y=\sqrt[3]{tan(3t)}
derivative\:y=\sqrt[3]{\tan(3t)}
parity cot^2(cos(θ))
parity\:\cot^{2}(\cos(θ))
derivative of arcsin(6x^4)
\frac{d}{dx}(\arcsin(6x^{4}))
derivative of (x^2/3+(5x)/7-8/5)
\frac{d}{dx}(\frac{x^{2}}{3}+\frac{5x}{7}-\frac{8}{5})
tangent of f(x)=5x^3,\at x=-2
tangent\:f(x)=5x^{3},\at\:x=-2
(\partial)/(\partial x)(xarcsin(x)y)
\frac{\partial\:}{\partial\:x}(x\arcsin(x)y)
integral from 0 to pi/2 of xsin(4x)
\int\:_{0}^{\frac{π}{2}}x\sin(4x)dx
limit as x approaches 5-of 5/((x-5)^3)
\lim\:_{x\to\:5-}(\frac{5}{(x-5)^{3}})
taylor \sqrt[4]{x}
taylor\:\sqrt[4]{x}
integral of sqrt(3+s)(s+1)^2
\int\:\sqrt{3+s}(s+1)^{2}ds
derivative of f(x)=ln(25sin^2(x))
derivative\:f(x)=\ln(25\sin^{2}(x))
derivative of y(X)=0.167X
derivative\:y(X)=0.167X
slope of (-2,4),(5,-1)
slope\:(-2,4),(5,-1)
limit as x approaches 0 of x^{9sin(x)}
\lim\:_{x\to\:0}(x^{9\sin(x)})
(\partial)/(\partial y)(2x-5y+2)
\frac{\partial\:}{\partial\:y}(2x-5y+2)
limit as x approaches 4+of (3x)/(x-4)
\lim\:_{x\to\:4+}(\frac{3x}{x-4})
integral of (u-1)sqrt(u)
\int\:(u-1)\sqrt{u}du
integral of x^{4/3}
\int\:x^{\frac{4}{3}}dx
f(x)=(ln(x))/(x+2)
f(x)=\frac{\ln(x)}{x+2}
(\partial)/(\partial x)(1-xycos(piy))
\frac{\partial\:}{\partial\:x}(1-xy\cos(πy))
integral of 1/(x^2sqrt(64-x^2))
\int\:\frac{1}{x^{2}\sqrt{64-x^{2}}}dx
y^{''}-2y^'=e^x
y^{\prime\:\prime\:}-2y^{\prime\:}=e^{x}
maclaurin 1/((1+x)^2)
maclaurin\:\frac{1}{(1+x)^{2}}
(\partial)/(\partial x)(14sqrt(x))
\frac{\partial\:}{\partial\:x}(14\sqrt{x})
derivative of e^{2x-1}ln(2x-1)
\frac{d}{dx}(e^{2x-1}\ln(2x-1))
integral of 9/((x^2-1)^2)
\int\:\frac{9}{(x^{2}-1)^{2}}dx
derivative of sec^7(x)
derivative\:\sec^{7}(x)
tangent of 4-x^2
tangent\:4-x^{2}
(dy)/(dx)=2x
\frac{dy}{dx}=2x
derivative of \sqrt[3]{x+3}
\frac{d}{dx}(\sqrt[3]{x+3})
integral of x^{1/8}+y^{1/8}
\int\:x^{\frac{1}{8}}+y^{\frac{1}{8}}
y^{''}+k*y=0
y^{\prime\:\prime\:}+k\cdot\:y=0
(\partial)/(\partial x)(2e^{4xy})
\frac{\partial\:}{\partial\:x}(2e^{4xy})
(\partial)/(\partial x)(ln((x^2+y^2)^2))
\frac{\partial\:}{\partial\:x}(\ln((x^{2}+y^{2})^{2}))
integral of 9zsqrt(3z^2-7)
\int\:9z\sqrt{3z^{2}-7}dz
derivative of (30)/((1-x)^4)
derivative\:\frac{30}{(1-x)^{4}}
tangent of f(x)=x^2-x,\at x=-2
tangent\:f(x)=x^{2}-x,\at\:x=-2
integral from 0 to 0.5 of (-13x+6)-(-x)
\int\:_{0}^{0.5}(-13x+6)-(-x)dx
integral of 3/(5x-1)
\int\:\frac{3}{5x-1}dx
integral from 0 to 2 of (xsqrt(4-x^2))
\int\:_{0}^{2}(x\sqrt{4-x^{2}})dx
derivative of 2+3x
\frac{d}{dx}(2+3x)
area-2x^2+8,3x+1,0
area\:-2x^{2}+8,3x+1,0
integral of (x^2-7x+4)
\int\:(x^{2}-7x+4)dx
y^{''}+4y^'+4y=(5+x)e^{-2x}
y^{\prime\:\prime\:}+4y^{\prime\:}+4y=(5+x)e^{-2x}
(dy)/(dx)+y/x =e^x
\frac{dy}{dx}+\frac{y}{x}=e^{x}
derivative of d-b+(-ax^3-d/(x^2))
\frac{d}{dx}(d-b+\frac{-ax^{3}-d}{x^{2}})
derivative of e^{2x}+e^{-3x}
\frac{d}{dx}(e^{2x}+e^{-3x})
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