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Popular Calculus Problems
derivative of asec(x)
\frac{d}{dx}(a\sec(x))
integral of (ln(x^6))/x
\int\:\frac{\ln(x^{6})}{x}dx
integral of e^{-st}cos(bt)
\int\:e^{-st}\cos(bt)dt
integral of 1/(x+3)
\int\:\frac{1}{x+3}dx
integral of sin(x)y
\int\:\sin(x)ydx
f(t)=t^3
f(t)=t^{3}
integral from-1 to 1 of e^{2x-2}
\int\:_{-1}^{1}e^{2x-2}dx
integral of cot(t)
\int\:\cot(t)dt
limit as x approaches-2 of 1/(sqrt(x+2))
\lim\:_{x\to\:-2}(\frac{1}{\sqrt{x+2}})
integral of sec^2(1-4x)
\int\:\sec^{2}(1-4x)dx
(dy)/(dx)=e^{x-y},y(0)=ln(8)
\frac{dy}{dx}=e^{x-y},y(0)=\ln(8)
limit as x approaches 0 of (1+6x)^{3/x}
\lim\:_{x\to\:0}((1+6x)^{\frac{3}{x}})
inverse oflaplace 1/(s^3+s)
inverselaplace\:\frac{1}{s^{3}+s}
integral of (3x^2+7x+3)/((x^2+1)^2)
\int\:\frac{3x^{2}+7x+3}{(x^{2}+1)^{2}}dx
derivative of 8^{-x}
\frac{d}{dx}(8^{-x})
limit as x approaches 0 of (tan(3x))/x
\lim\:_{x\to\:0}(\frac{\tan(3x)}{x})
integral of cos(2-x/3)
\int\:\cos(2-\frac{x}{3})dx
limit as x approaches-2 of (x-2)/(x^3+8)
\lim\:_{x\to\:-2}(\frac{x-2}{x^{3}+8})
(\partial)/(\partial θ)(r(θ)*sin(θ))
\frac{\partial\:}{\partial\:θ}(r(θ)\cdot\:\sin(θ))
(\partial)/(\partial x)(xze^{xz})
\frac{\partial\:}{\partial\:x}(xze^{xz})
derivative of cos(sqrt(sin(tan(9x))))
derivative\:\cos(\sqrt{\sin(\tan(9x))})
tangent of x^3+y^3-4xy=0,(2,2)
tangent\:x^{3}+y^{3}-4xy=0,(2,2)
derivative of G(t)=(1-4t)/(3+t)
derivative\:G(t)=\frac{1-4t}{3+t}
f(x)=(sin(x))/(x^2)
f(x)=\frac{\sin(x)}{x^{2}}
integral of x^2+5x+5
\int\:x^{2}+5x+5dx
yy^'-2e^x=0
yy^{\prime\:}-2e^{x}=0
limit as n approaches infinity of sin(n)
\lim\:_{n\to\:\infty\:}(\sin(n))
(\partial)/(\partial x)(x^2y-2xy+yz^2)
\frac{\partial\:}{\partial\:x}(x^{2}y-2xy+yz^{2})
slope of (-2,3),(4,-5)
slope\:(-2,3),(4,-5)
sum from n=0 to infinity of (e^n)/(n!)
\sum\:_{n=0}^{\infty\:}\frac{e^{n}}{n!}
(\partial)/(\partial x)(10xe^{-x^2-y^2})
\frac{\partial\:}{\partial\:x}(10xe^{-x^{2}-y^{2}})
area y=x^3-16x,y=4-x,0,2
area\:y=x^{3}-16x,y=4-x,0,2
derivative of θcos(θ)sin(θ)
derivative\:θ\cos(θ)\sin(θ)
x^2(dy)/(dx)-y^3=xy
x^{2}\frac{dy}{dx}-y^{3}=xy
derivative of x/(1-x^2)
\frac{d}{dx}(\frac{x}{1-x^{2}})
integral of (x^2)/(x^3-3)
\int\:\frac{x^{2}}{x^{3}-3}dx
integral from 0 to 5 of 0.2x
\int\:_{0}^{5}0.2xdx
sum from n=1 to infinity of n(n+1)
\sum\:_{n=1}^{\infty\:}n(n+1)
limit as x approaches 3 of x^2-3x
\lim\:_{x\to\:3}(x^{2}-3x)
integral of (a^{2/3}-x^{2/3})^2
\int\:(a^{\frac{2}{3}}-x^{\frac{2}{3}})^{2}dx
integral of cos^2(6x)sin^3(6x)
\int\:\cos^{2}(6x)\sin^{3}(6x)dx
integral of (10)/(sqrt(5-x))
\int\:\frac{10}{\sqrt{5-x}}dx
maclaurin 1/((1-x)^2)
maclaurin\:\frac{1}{(1-x)^{2}}
(\partial)/(\partial x)(x^2+xy+5y)
\frac{\partial\:}{\partial\:x}(x^{2}+xy+5y)
limit as x approaches 2 of 6x^2
\lim\:_{x\to\:2}(6x^{2})
derivative of (x^2+sqrt(x)/(2x+5))
\frac{d}{dx}(\frac{x^{2}+\sqrt{x}}{2x+5})
limit as x approaches-infinity of x/(-x)
\lim\:_{x\to\:-\infty\:}(\frac{x}{-x})
tangent of 12x^{1/2}
tangent\:12x^{\frac{1}{2}}
limit as x approaches a of 2x-1
\lim\:_{x\to\:a}(2x-1)
derivative of-(40(9+5x^2))/((9-5x^2)^2)
derivative\:-\frac{40(9+5x^{2})}{(9-5x^{2})^{2}}
integral from 1 to 4 of 2xsqrt(5+x^2)
\int\:_{1}^{4}2x\sqrt{5+x^{2}}dx
(\partial)/(\partial x)(e^{ax^3})
\frac{\partial\:}{\partial\:x}(e^{ax^{3}})
derivative of y=sqrt(sec(5x))
derivative\:y=\sqrt{\sec(5x)}
integral of 1/(sin(θ)(cos^2(θ)+4))
\int\:\frac{1}{\sin(θ)(\cos^{2}(θ)+4)}dx
integral of e^{1.5x}
\int\:e^{1.5x}dx
integral of e^{6x}sin(4x)
\int\:e^{6x}\sin(4x)dx
limit as x approaches infinity of-xln(x)
\lim\:_{x\to\:\infty\:}(-x\ln(x))
limit as x approaches 11 of (x-11)/(11^2-121)
\lim\:_{x\to\:11}(\frac{x-11}{11^{2}-121})
inverse oflaplace ((3s+16))/(s^2-16)
inverselaplace\:\frac{(3s+16)}{s^{2}-16}
limit as x approaches 2 of 3|x-2|
\lim\:_{x\to\:2}(3\left|x-2\right|)
limit as x approaches 7 of (x^2+7)/x
\lim\:_{x\to\:7}(\frac{x^{2}+7}{x})
integral of (3x-13)/(x^2+3x-10)
\int\:\frac{3x-13}{x^{2}+3x-10}dx
derivative of (5x^3+3)(x^4-2x)
derivative\:(5x^{3}+3)(x^{4}-2x)
integral of 1/((4x^2+1)^2)
\int\:\frac{1}{(4x^{2}+1)^{2}}dx
area x^2-4,[-4,3]
area\:x^{2}-4,[-4,3]
(\partial)/(\partial x)(x^2y+zcos(y))
\frac{\partial\:}{\partial\:x}(x^{2}y+z\cos(y))
derivative of ln(1+2x^2)
\frac{d}{dx}(\ln(1+2x^{2}))
y^{'''}-6y^{''}-y^'+6y=0
y^{\prime\:\prime\:\prime\:}-6y^{\prime\:\prime\:}-y^{\prime\:}+6y=0
y^{''}+10y^'+25y=3e^{-5t}
y^{\prime\:\prime\:}+10y^{\prime\:}+25y=3e^{-5t}
integral from-6 to 6 of sqrt(36-x^2)
\int\:_{-6}^{6}\sqrt{36-x^{2}}dx
integral of (sqrt(1+\sqrt{t)})/(sqrt(t))
\int\:\frac{\sqrt{1+\sqrt{t}}}{\sqrt{t}}dt
integral of 9(x+1)^2ln(x+1)
\int\:9(x+1)^{2}\ln(x+1)dx
limit as x approaches-3 of (|x+3|)/(x+3)
\lim\:_{x\to\:-3}(\frac{\left|x+3\right|}{x+3})
integral of sin^5(5x)
\int\:\sin^{5}(5x)dx
integral from 0 to infinity of 9e^{-x}
\int\:_{0}^{\infty\:}9e^{-x}dx
(\partial)/(\partial x)((x-1)^2+xy+(y-1)^2)
\frac{\partial\:}{\partial\:x}((x-1)^{2}+xy+(y-1)^{2})
integral of (2x^2-3x-36)/((2x-1)(x^2+9))
\int\:\frac{2x^{2}-3x-36}{(2x-1)(x^{2}+9)}dx
derivative of sqrt(1-ln(x))
\frac{d}{dx}(\sqrt{1-\ln(x)})
integral of 1/(3+x^2)
\int\:\frac{1}{3+x^{2}}dx
limit as x approaches 3 of (x+1)/(x-2)
\lim\:_{x\to\:3}(\frac{x+1}{x-2})
derivative of g(x)=sqrt(15x)
derivative\:g(x)=\sqrt{15x}
derivative of 14
\frac{d}{dx}(14)
integral from 1 to sqrt(3 of)x
\int\:_{1}^{\sqrt{3}}xdx
(\partial)/(\partial x)(e^{-x}sec(y))
\frac{\partial\:}{\partial\:x}(e^{-x}\sec(y))
integral of 2/(8+2x)
\int\:\frac{2}{8+2x}dx
derivative of 1/(2x+6)
\frac{d}{dx}(\frac{1}{2x+6})
integral of t2^{t+2}
\int\:t2^{t+2}dt
limit as n approaches infinity of (1n)/3
\lim\:_{n\to\:\infty\:}(\frac{1n}{3})
derivative of sqrt(8)
derivative\:\sqrt{8}
limit as x approaches 0+of x-sin(x)
\lim\:_{x\to\:0+}(x-\sin(x))
limit as x approaches 0 of ((1+x)^8-1)/x
\lim\:_{x\to\:0}(\frac{(1+x)^{8}-1}{x})
integral from-1 to 1 of sqrt(3)(1-x^2)
\int\:_{-1}^{1}\sqrt{3}(1-x^{2})dx
integral of 1/(sqrt(h))
\int\:\frac{1}{\sqrt{h}}dh
integral of sec^4(xta)n^4x
\int\:\sec^{4}(xta)n^{4}xdx
derivative of sin^9(x)
derivative\:\sin^{9}(x)
limit as x approaches infinity of (3^{x+1})/(3^x)
\lim\:_{x\to\:\infty\:}(\frac{3^{x+1}}{3^{x}})
slope of (-3,-3),(-5,-2)
slope\:(-3,-3),(-5,-2)
integral of 1/(x^2+10x+50)
\int\:\frac{1}{x^{2}+10x+50}dx
derivative of f(x)=(1-5x)/(1+5x)
derivative\:f(x)=\frac{1-5x}{1+5x}
taylor 1-e^{-x}
taylor\:1-e^{-x}
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