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Popular Calculus Problems
integral from 0 to 4 of (5t)/((t-5)^2)
\int\:_{0}^{4}\frac{5t}{(t-5)^{2}}dt
integral of 2/((x-1)^3)
\int\:\frac{2}{(x-1)^{3}}dx
limit as x approaches 0+of 1/(e^x-1)-1/x
\lim\:_{x\to\:0+}(\frac{1}{e^{x}-1}-\frac{1}{x})
area y=4-x^2,y=0
area\:y=4-x^{2},y=0
laplacetransform cos(3t)-cos(7t)
laplacetransform\:\cos(3t)-\cos(7t)
derivative of sqrt(x^3+3)
derivative\:\sqrt{x^{3}+3}
integral of (x^3-1/(x^3))^2
\int\:(x^{3}-\frac{1}{x^{3}})^{2}dx
integral of x(1+2x^4)
\int\:x(1+2x^{4})dx
(\partial)/(\partial x)(4x^3y^2+3)
\frac{\partial\:}{\partial\:x}(4x^{3}y^{2}+3)
derivative of y=ln(sqrt(2x+1))
derivative\:y=\ln(\sqrt{2x+1})
derivative of log_{2}(2x^2-7x+1)
\frac{d}{dx}(\log_{2}(2x^{2}-7x+1))
integral of 4xe^{9x}
\int\:4xe^{9x}dx
tangent of f(x)=x^4-5x^2-x,\at x=1
tangent\:f(x)=x^{4}-5x^{2}-x,\at\:x=1
tangent of y= 3/x ,(5, 3/5)
tangent\:y=\frac{3}{x},(5,\frac{3}{5})
derivative of f(x)=(2x+3)(x^2+2x)
derivative\:f(x)=(2x+3)(x^{2}+2x)
integral from 0 to 5 of xe^{-0.6x}
\int\:_{0}^{5}xe^{-0.6x}dx
derivative of cot(sqrt(x))
\frac{d}{dx}(\cot(\sqrt{x}))
derivative of y=(e^x)/(x+e^x)
derivative\:y=\frac{e^{x}}{x+e^{x}}
(\partial)/(\partial x)(e^{xy}x^2)
\frac{\partial\:}{\partial\:x}(e^{xy}x^{2})
derivative of x^3(x^2+4+1/x)
\frac{d}{dx}(x^{3}(x^{2}+4+\frac{1}{x}))
d/(d{x)}({x}^2+2{y}^2+{z}^2-6{x}+3{y}-2{z}+5)
\frac{d}{d{x}}({x}^{2}+2{y}^{2}+{z}^{2}-6{x}+3{y}-2{z}+5)
y^{''}-6y^'+0y=0
y^{\prime\:\prime\:}-6y^{\prime\:}+0y=0
integral of 5/(e^x+2)
\int\:\frac{5}{e^{x}+2}dx
integral from 0 to 1 of 1/(2-3x)
\int\:_{0}^{1}\frac{1}{2-3x}dx
(dy)/(dx)+3xy^3=0
\frac{dy}{dx}+3xy^{3}=0
integral of (5t-4)/(t+1)
\int\:\frac{5t-4}{t+1}dt
limit as x approaches-1 of 0
\lim\:_{x\to\:-1}(0)
integral of (1-x)^{-3}
\int\:(1-x)^{-3}dx
integral of x^3sqrt(1-x^4)
\int\:x^{3}\sqrt{1-x^{4}}dx
integral of (x+3)
\int\:(x+3)dx
inverse oflaplace (2^2)/(s(s+2)^2)
inverselaplace\:\frac{2^{2}}{s(s+2)^{2}}
integral of 1/(x^2-6x+8)
\int\:\frac{1}{x^{2}-6x+8}dx
integral of cos(x)cos(2x)
\int\:\cos(x)\cos(2x)dx
derivative of ln(sqrt(x+5))
derivative\:\ln(\sqrt{x+5})
integral of 1/(xsqrt(1+x^2))
\int\:\frac{1}{x\sqrt{1+x^{2}}}dx
derivative of f(x)=sqrt(x^2+12)
derivative\:f(x)=\sqrt{x^{2}+12}
(7x+2y)y^'=-2x-7y
(7x+2y)y^{\prime\:}=-2x-7y
derivative of f(x)= 3/2 x^3-8/5 x^2
derivative\:f(x)=\frac{3}{2}x^{3}-\frac{8}{5}x^{2}
integral from 0 to 50 of 4/5 x
\int\:_{0}^{50}\frac{4}{5}xdx
integral from 0 to 1 of 9/(sqrt(1-x^2))
\int\:_{0}^{1}\frac{9}{\sqrt{1-x^{2}}}dx
(\partial)/(\partial x)(x^4-5xy+y^4)
\frac{\partial\:}{\partial\:x}(x^{4}-5xy+y^{4})
derivative of f(x)=(x^2+4x+3)/(sqrt(x))
derivative\:f(x)=\frac{x^{2}+4x+3}{\sqrt{x}}
y^'tan^{-1}(x)-y(1+x^2)^{-1}=0
y^{\prime\:}\tan^{-1}(x)-y(1+x^{2})^{-1}=0
derivative of cos(x+2sin(x)cos(x))
\frac{d}{dx}(\cos(x)+2\sin(x)\cos(x))
integral of w/(1+w^2)
\int\:\frac{w}{1+w^{2}}dw
derivative of x/(x^2+14x+45)
derivative\:\frac{x}{x^{2}+14x+45}
derivative of e^{(-5x^3-2x^2})
\frac{d}{dx}(e^{(-5x^{3}-2x^{2})})
(dy)/(dx)=3x^2(1+y^2)^{3/2}
\frac{dy}{dx}=3x^{2}(1+y^{2})^{\frac{3}{2}}
derivative of f(x)=5x^2-x^{1/3}
derivative\:f(x)=5x^{2}-x^{\frac{1}{3}}
(\partial)/(\partial x)(e^z)
\frac{\partial\:}{\partial\:x}(e^{z})
f(x)=sqrt(x-x^2)+arcsin(sqrt(x))
f(x)=\sqrt{x-x^{2}}+\arcsin(\sqrt{x})
sum from n=1 to infinity of 3/(2^n+1)
\sum\:_{n=1}^{\infty\:}\frac{3}{2^{n}+1}
integral of (ln(4x))/(x^3)
\int\:\frac{\ln(4x)}{x^{3}}dx
f(x)=((x^2+9))/((x^2-9))
f(x)=\frac{(x^{2}+9)}{(x^{2}-9)}
integral from b to 2b of x^3
\int\:_{b}^{2b}x^{3}dx
area 6+x-x^2,4
area\:6+x-x^{2},4
integral of ((x^2))/(sqrt(4-x^2))
\int\:\frac{(x^{2})}{\sqrt{4-x^{2}}}dx
integral of 5/((x-2)(x^2-1))
\int\:\frac{5}{(x-2)(x^{2}-1)}dx
integral of (e^{x^{1/2}})/(x^{1/2)}
\int\:\frac{e^{x^{\frac{1}{2}}}}{x^{\frac{1}{2}}}dx
tangent of f(x)= 4/x ,(5, 4/5)
tangent\:f(x)=\frac{4}{x},(5,\frac{4}{5})
derivative of (6x^{2x})
\frac{d}{dx}((6x)^{2x})
integral of 2/(t^2+1)
\int\:\frac{2}{t^{2}+1}dt
(\partial)/(\partial x)(3sqrt(x))
\frac{\partial\:}{\partial\:x}(3\sqrt{x})
(\partial)/(\partial x)(xycos(3yz))
\frac{\partial\:}{\partial\:x}(xy\cos(3yz))
integral of (1-cos(x/2))^2sin(x/2)
\int\:(1-\cos(\frac{x}{2}))^{2}\sin(\frac{x}{2})dx
integral from-1 to 2 of (4-x^2)
\int\:_{-1}^{2}(4-x^{2})dx
y=log_{5}(2)x^2
y=\log_{5}(2)x^{2}
sum from n=1 to infinity}7^{n+1 of x^n
\sum\:_{n=1}^{\infty\:}7^{n+1}x^{n}
taylor 1/t
taylor\:\frac{1}{t}
tangent of 6/(x^2+2),\at 2,1
tangent\:\frac{6}{x^{2}+2},\at\:2,1
derivative of cos(2xsin(2x))
\frac{d}{dx}(\cos(2x)\sin(2x))
integral of (sin(0)0)/(sqrt(4+cos^2(0)))
\int\:\frac{\sin(0)d^{0}}{\sqrt{4+\cos^{2}(0)}}dd
inverse oflaplace 5/(s(s^2+s+2))
inverselaplace\:\frac{5}{s(s^{2}+s+2)}
(dy)/(dx)y=13^x+e^2
\frac{dy}{dx}y=13^{x}+e^{2}
integral from-pi/6 to 0 of 4sec^3(x)
\int\:_{-\frac{π}{6}}^{0}4\sec^{3}(x)dx
limit as h approaches 0 of (e^h-1)/h
\lim\:_{h\to\:0}(\frac{e^{h}-1}{h})
(\partial)/(\partial w)(ln(2w^3-7y+3xy^2))
\frac{\partial\:}{\partial\:w}(\ln(2w^{3}-7y+3xy^{2}))
parity f(x)=cot^3(sin(x))
parity\:f(x)=\cot^{3}(\sin(x))
limit as x approaches 0 of (tan(3x))/(sin(7x))
\lim\:_{x\to\:0}(\frac{\tan(3x)}{\sin(7x)})
(\partial)/(\partial y)(z^3-xy+yz+y^3-2)
\frac{\partial\:}{\partial\:y}(z^{3}-xy+yz+y^{3}-2)
integral of (-11x)/((x^2+5)^2)
\int\:\frac{-11x}{(x^{2}+5)^{2}}dx
integral of 1/(s^2+3s+6)
\int\:\frac{1}{s^{2}+3s+6}ds
derivative of tan^{-1}(x)
\frac{d}{dx}(\tan^{-1}(x))
area 2x,x^2,0,2
area\:2x,x^{2},0,2
integral of 1/2 e^{-2x}
\int\:\frac{1}{2}e^{-2x}dx
slope of (1,-8),(5,4)
slope\:(1,-8),(5,4)
limit as x approaches o of (sin(x))/x
\lim\:_{x\to\:o}(\frac{\sin(x)}{x})
f(x)= 1/(x+3)
f(x)=\frac{1}{x+3}
(\partial)/(\partial x)(\sqrt[3]{xy})
\frac{\partial\:}{\partial\:x}(\sqrt[3]{xy})
integral of u^{1/2}
\int\:u^{\frac{1}{2}}du
derivative of f(x)=7x^3sqrt(x)
derivative\:f(x)=7x^{3}\sqrt{x}
tangent of f(x)=(x-1)/(x-2),\at x=3
tangent\:f(x)=\frac{x-1}{x-2},\at\:x=3
integral of ((sin(2x)))/(cos(x))
\int\:\frac{(\sin(2x))}{\cos(x)}dx
y^'+2y=18
y^{\prime\:}+2y=18
integral of (6e^{2x})/(e^{2x)+10e^x+16}
\int\:\frac{6e^{2x}}{e^{2x}+10e^{x}+16}dx
taylor (1-x)e^{-x}
taylor\:(1-x)e^{-x}
derivative of f(x)=5e^x-x^2
derivative\:f(x)=5e^{x}-x^{2}
derivative of x^3-7x
\frac{d}{dx}(x^{3}-7x)
inverse oflaplace 1/((s^2+9))
inverselaplace\:\frac{1}{(s^{2}+9)}
integral of (x^4-3x^2+5)/(x^4)
\int\:\frac{x^{4}-3x^{2}+5}{x^{4}}dx
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