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Popular Calculus Problems
laplacetransform e^{5t}sin(2t)
laplacetransform\:e^{5t}\sin(2t)
integral of sqrt(25+x^2)
\int\:\sqrt{25+x^{2}}dx
limit as x approaches+0 of (5^x-7^x)/x
\lim\:_{x\to\:+0}(\frac{5^{x}-7^{x}}{x})
y^'=-a*y+b*y
y^{\prime\:}=-a\cdot\:y+b\cdot\:y
tangent of f(x)=x^2+2(3.11)
tangent\:f(x)=x^{2}+2(3.11)
laplacetransform-4cos(6t)
laplacetransform\:-4\cos(6t)
integral of (5^x)
\int\:(5^{x})dx
derivative of 5sin(y+3e^{2x})
\frac{d}{dx}(5\sin(y)+3e^{2x})
y^'=(x^2+3y^2)/(2xy)
y^{\prime\:}=\frac{x^{2}+3y^{2}}{2xy}
derivative of t^3-27t
derivative\:t^{3}-27t
integral of (x^2+16x-16)/(x^3-16x)
\int\:\frac{x^{2}+16x-16}{x^{3}-16x}dx
integral of (x^3)/(8-x^4)
\int\:\frac{x^{3}}{8-x^{4}}dx
derivative of arcsinh(sqrt(x))
\frac{d}{dx}(\arcsinh(\sqrt{x}))
(dy)/(dx)y^3=7x^3+2x
\frac{dy}{dx}y^{3}=7x^{3}+2x
integral of (6/(sqrt(4-x^2)))
\int\:(\frac{6}{\sqrt{4-x^{2}}})dx
d/(dy)(e^{x^2+y^2}sin(xy))
\frac{d}{dy}(e^{x^{2}+y^{2}}\sin(xy))
derivative of x^4-3x
derivative\:x^{4}-3x
limit as x approaches-0.1 of (e^x-1)/x
\lim\:_{x\to\:-0.1}(\frac{e^{x}-1}{x})
(\partial)/(\partial x)(3/(4y^4x^{1/4)})
\frac{\partial\:}{\partial\:x}(\frac{3}{4y^{4}x^{\frac{1}{4}}})
(dx)/(dt)=7xt^4
\frac{dx}{dt}=7xt^{4}
integral from-1 to 3 of (2x^2-8)
\int\:_{-1}^{3}(2x^{2}-8)dx
derivative of-(18/(ax))
\frac{d}{dx}(-\frac{18}{ax})
(\partial)/(\partial x)(4xsin(3x^2y))
\frac{\partial\:}{\partial\:x}(4x\sin(3x^{2}y))
integral from-2 to 18 of 1/(sqrt(|2x|))
\int\:_{-2}^{18}\frac{1}{\sqrt{\left|2x\right|}}dx
derivative of (4x^3+6(sqrt(x)+8))
\frac{d}{dx}((4x^{3}+6)(\sqrt{x}+8))
limit as x approaches infinity of 7x^2+8
\lim\:_{x\to\:\infty\:}(7x^{2}+8)
limit as x approaches 0+of sin(x)*ln(2x)
\lim\:_{x\to\:0+}(\sin(x)\cdot\:\ln(2x))
d/(dt)(e^{-t}cos(2t))
\frac{d}{dt}(e^{-t}\cos(2t))
x^{''}+16pi^2x=0
x^{\prime\:\prime\:}+16π^{2}x=0
integral of (2x+5)^4
\int\:(2x+5)^{4}dx
derivative of y= 4/(3x^2)
derivative\:y=\frac{4}{3x^{2}}
derivative of 4/((x^2-2x)^2)
derivative\:\frac{4}{(x^{2}-2x)^{2}}
f(x)=-(e^{1/x})/(x^2)
f(x)=-\frac{e^{\frac{1}{x}}}{x^{2}}
integral of cos(3t)sin(3t)
\int\:\cos(3t)\sin(3t)dt
integral of (12x^2)/(sqrt(4x^3-1))
\int\:\frac{12x^{2}}{\sqrt{4x^{3}-1}}dx
integral of (4x+7)/((8x^2+28x)^3)
\int\:\frac{4x+7}{(8x^{2}+28x)^{3}}dx
integral of 5csc(x)
\int\:5\csc(x)dx
limit as x approaches 1+of x/(x-1)
\lim\:_{x\to\:1+}(\frac{x}{x-1})
derivative of \sqrt[3]{x}+2sqrt(t^3)
\frac{d}{dx}(\sqrt[3]{x}+2\sqrt{t^{3}})
(\partial)/(\partial x)(lsin(θ))
\frac{\partial\:}{\partial\:x}(l\sin(θ))
sum from n=1 to infinity of (7x^n)/(n^8)
\sum\:_{n=1}^{\infty\:}\frac{7x^{n}}{n^{8}}
derivative of ((cos^3(x)-1))/(cos^2(x))
derivative\:\frac{(\cos^{3}(x)-1)}{\cos^{2}(x)}
limit as x approaches 2 of (sqrt(2)+sqrt(x))/(sqrt(2)-\sqrt{x)}
\lim\:_{x\to\:2}(\frac{\sqrt{2}+\sqrt{x}}{\sqrt{2}-\sqrt{x}})
derivative of y=x^2+e^xsqrt(x)
derivative\:y=x^{2}+e^{x}\sqrt{x}
limit as x approaches 0 of (1-cos(7x))/x
\lim\:_{x\to\:0}(\frac{1-\cos(7x)}{x})
11(t+1)y^'-9y=18t
11(t+1)y^{\prime\:}-9y=18t
y^'+1/t y=e^{-t^2},y(1)=12
y^{\prime\:}+\frac{1}{t}y=e^{-t^{2}},y(1)=12
derivative of log_{2}((5x-1^3))
\frac{d}{dx}(\log_{2}((5x-1)^{3}))
derivative of x/(x+b/x)
\frac{d}{dx}(\frac{x}{x+\frac{b}{x}})
limit as x approaches 3+of a^2x-12a
\lim\:_{x\to\:3+}(a^{2}x-12a)
(2x-1)dx+(5y+4)dy=0
(2x-1)dx+(5y+4)dy=0
area y=x^3,y=0,x=-3,x=3
area\:y=x^{3},y=0,x=-3,x=3
inverse oflaplace 1/((s+2)^2+9)
inverselaplace\:\frac{1}{(s+2)^{2}+9}
(\partial)/(\partial x)(2x-3y+5)
\frac{\partial\:}{\partial\:x}(2x-3y+5)
(\partial)/(\partial x)(e^{x^{2-y^2}})
\frac{\partial\:}{\partial\:x}(e^{x^{2-y^{2}}})
integral from 0 to pi/2 of cos^3(21x)
\int\:_{0}^{\frac{π}{2}}\cos^{3}(21x)dx
limit as t approaches 0 of (e^{2t}-1)/t
\lim\:_{t\to\:0}(\frac{e^{2t}-1}{t})
derivative of y=ln(30)+30^{x+4}
derivative\:y=\ln(30)+30^{x+4}
limit as x approaches 4 of sqrt(x^2-16)
\lim\:_{x\to\:4}(\sqrt{x^{2}-16})
integral of (x^3)/(\sqrt[7]{x^2+5)}
\int\:\frac{x^{3}}{\sqrt[7]{x^{2}+5}}dx
integral of 3x-8
\int\:3x-8dx
(\partial ^2)/(\partial y^2)(x^2-y^2)
\frac{\partial\:^{2}}{\partial\:y^{2}}(x^{2}-y^{2})
limit as x approaches-infinity of-1/x
\lim\:_{x\to\:-\infty\:}(-\frac{1}{x})
integral of 2sin^3(x/2)
\int\:2\sin^{3}(\frac{x}{2})dx
area x^2,[0,1]
area\:x^{2},[0,1]
y^'=6x+y
y^{\prime\:}=6x+y
(dQ)/(dt)=1-Q/(50)
\frac{dQ}{dt}=1-\frac{Q}{50}
derivative of (x^2/(sqrt(x-2y)))
\frac{d}{dx}(\frac{x^{2}}{\sqrt{x-2y}})
derivative of (6x^2+8x+4)/(sqrt(x))
derivative\:\frac{6x^{2}+8x+4}{\sqrt{x}}
integral of (a+bx)^2
\int\:(a+bx)^{2}dx
f(t)=2t^3
f(t)=2t^{3}
(dy)/(dx)=-(2x+ln(y))*y/x
\frac{dy}{dx}=-(2x+\ln(y))\cdot\:\frac{y}{x}
(dy)/(dx)=y^2x^2
\frac{dy}{dx}=y^{2}x^{2}
tangent of f(x)=sin(x),\at x=pi
tangent\:f(x)=\sin(x),\at\:x=π
taylor e^xsin(x),0
taylor\:e^{x}\sin(x),0
derivative of e^e+2ln(1+x^2-3^x)
\frac{d}{dx}(e^{e}+2\ln(1+x^{2})-3^{x})
integral of (3x)/(6x^2+9)
\int\:\frac{3x}{6x^{2}+9}dx
tangent of f(x)=-(2x-10)/(x-3),\at x=2
tangent\:f(x)=-\frac{2x-10}{x-3},\at\:x=2
area y=x^2,x=y^2,y=1
area\:y=x^{2},x=y^{2},y=1
derivative of (x^3/(sqrt(x^3)))
\frac{d}{dx}(\frac{x^{3}}{\sqrt{x^{3}}})
integral of 1/w
\int\:\frac{1}{w}dw
area y=x^2-9,y=-x+3,x=0,x=2
area\:y=x^{2}-9,y=-x+3,x=0,x=2
derivative of-4e^{4x}
derivative\:-4e^{4x}
tangent of f(x)=3x^3-6x^2+7x,\at x=4
tangent\:f(x)=3x^{3}-6x^{2}+7x,\at\:x=4
integral from 1 to 5 of 2+3x-x^2
\int\:_{1}^{5}2+3x-x^{2}dx
derivative of (x^2-11x+10/(x^2+11x+10))
\frac{d}{dx}(\frac{x^{2}-11x+10}{x^{2}+11x+10})
derivative of (x^2-2/(5x^3+6))
\frac{d}{dx}(\frac{x^{2}-2}{5x^{3}+6})
(\partial)/(\partial x)(sqrt(a^2-x^2))
\frac{\partial\:}{\partial\:x}(\sqrt{a^{2}-x^{2}})
integral of (arcsin(x))/(sqrt(1-x))
\int\:\frac{\arcsin(x)}{\sqrt{1-x}}dx
f(x)=ln(ln(3x))
f(x)=\ln(\ln(3x))
derivative of (x^2/(x+7))
\frac{d}{dx}(\frac{x^{2}}{x+7})
sum from n=1 to infinity of sin(1/n)
\sum\:_{n=1}^{\infty\:}\sin(\frac{1}{n})
(\partial)/(\partial x)(y^2sin(xz))
\frac{\partial\:}{\partial\:x}(y^{2}\sin(xz))
limit as x approaches 4+of 1/(x^3-64)
\lim\:_{x\to\:4+}(\frac{1}{x^{3}-64})
integral of sec^6(2x)
\int\:\sec^{6}(2x)dx
integral of 4/(5+2x-x^2)
\int\:\frac{4}{5+2x-x^{2}}dx
expand sqrt(3)(s^3-s^2)
expand\:\sqrt{3}(s^{3}-s^{2})
derivative of e^{8xsin(2x})
\frac{d}{dx}(e^{8x\sin(2x)})
derivative of (2x/(9x^2+1))
\frac{d}{dx}(\frac{2x}{9x^{2}+1})
integral of 1/(4x^2+2x+1)
\int\:\frac{1}{4x^{2}+2x+1}dx
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