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Popular Calculus Problems
f(x)=4sec^2(x)
f(x)=4\sec^{2}(x)
derivative of f(x)=5xsqrt(1-x^3)
derivative\:f(x)=5x\sqrt{1-x^{3}}
derivative of (7x+8/(4x+8))
\frac{d}{dx}(\frac{7x+8}{4x+8})
integral of-te^{-2t}
\int\:-te^{-2t}dt
t^2(dy)/(dt)+y=0,y(5)=-1
t^{2}\frac{dy}{dt}+y=0,y(5)=-1
integral of 1.8^{(0.045x)}-1
\int\:1.8^{(0.045x)}-1dx
integral of-x^2e^{-x}
\int\:-x^{2}e^{-x}dx
(1-x^2)y^{''}-2xy^'=1
(1-x^{2})y^{\prime\:\prime\:}-2xy^{\prime\:}=1
limit as x approaches 0 of 1-sqrt(1-x)
\lim\:_{x\to\:0}(1-\sqrt{1-x})
2xy^'+y=6x
2xy^{\prime\:}+y=6x
(dy)/(dx)=(y-1)(1-2y)
\frac{dy}{dx}=(y-1)(1-2y)
integral of (7ln(x))/(x^3)
\int\:\frac{7\ln(x)}{x^{3}}dx
maclaurin ln(2+x)
maclaurin\:\ln(2+x)
derivative of 5arctan(x+sqrt(1+x^2))
\frac{d}{dx}(5\arctan(x+\sqrt{1+x^{2}}))
(dy)/(dx)=0.0015y(1200-y)
\frac{dy}{dx}=0.0015y(1200-y)
integral of 1/(7-8x)
\int\:\frac{1}{7-8x}dx
derivative of f(x)=sqrt(5x)
derivative\:f(x)=\sqrt{5x}
(dw)/(dt)
\frac{dw}{dt}
(\partial)/(\partial x)(7x^2+e^{2y})
\frac{\partial\:}{\partial\:x}(7x^{2}+e^{2y})
derivative of 56x-0.02x^2
derivative\:56x-0.02x^{2}
1/2 y^{''}+2y=tan(2t)-1/2 e^t
\frac{1}{2}y^{\prime\:\prime\:}+2y=\tan(2t)-\frac{1}{2}e^{t}
(\partial ^2)/(\partial {K)(b)\partial b}(bL^3{K}(b)(b)^2)
\frac{\partial\:^{2}}{\partial\:{K}(b)\partial\:b}(bL^{3}{K}(b)(b)^{2})
derivative of cos^2(2pix)
derivative\:\cos^{2}(2πx)
maclaurin sin(2x^2)
maclaurin\:\sin(2x^{2})
parity x^{tan(x)}
parity\:x^{\tan(x)}
derivative of (x^5/5-1/2 x^{-2})
\frac{d}{dx}(\frac{x^{5}}{5}-\frac{1}{2}x^{-2})
derivative of 4/(x^2+4)
derivative\:\frac{4}{x^{2}+4}
(dy)/(dx)=e^{-y}cos(x)
\frac{dy}{dx}=e^{-y}\cos(x)
integral of 9sin^3(xco)s^2x
\int\:9\sin^{3}(xco)s^{2}xdx
derivative of (2u^2)/((u^2+u)^3)
derivative\:\frac{2u^{2}}{(u^{2}+u)^{3}}
integral of 1/((3x)^2)
\int\:\frac{1}{(3x)^{2}}dx
integral from 0 to 6 of pi(3)^2
\int\:_{0}^{6}π(3)^{2}dx
integral of-1/n cos(nx)
\int\:-\frac{1}{n}\cos(nx)dx
integral of (ln(3x))
\int\:(\ln(3x))dx
(\partial)/(\partial y)(xy-5y+x^2+y^2-10x)
\frac{\partial\:}{\partial\:y}(xy-5y+x^{2}+y^{2}-10x)
f(x)= 1/(sqrt(x^3))
f(x)=\frac{1}{\sqrt{x^{3}}}
integral of sqrt(1-3x)
\int\:\sqrt{1-3x}dx
integral from 0 to 1 of e^{-x^2}
\int\:_{0}^{1}e^{-x^{2}}dx
xy(dy)/(dx)+y^2=2x
xy\frac{dy}{dx}+y^{2}=2x
limit as x approaches+0 of 1/x
\lim\:_{x\to\:+0}(\frac{1}{x})
y^'-7/x y=(y^5)/(x^5)
y^{\prime\:}-\frac{7}{x}y=\frac{y^{5}}{x^{5}}
laplacetransform e^{5(t-2)}
laplacetransform\:e^{5(t-2)}
derivative of 1/3 pir^2h
derivative\:\frac{1}{3}πr^{2}h
integral from 0 to sqrt(3 of)sqrt(x^2+9)
\int\:_{0}^{\sqrt{3}}\sqrt{x^{2}+9}dx
derivative of 1/(4x^2)
\frac{d}{dx}(\frac{1}{4x^{2}})
derivative of (x^2-3/(x^2+1))
\frac{d}{dx}(\frac{x^{2}-3}{x^{2}+1})
integral from 1 to 5 of t^3ln(4t)
\int\:_{1}^{5}t^{3}\ln(4t)dt
integral of (x-1)/(x^2-2x+3)
\int\:\frac{x-1}{x^{2}-2x+3}dx
derivative of 3x^{-1/2}
derivative\:3x^{-\frac{1}{2}}
derivative of (7arcsin(4x)^x)
\frac{d}{dx}((7\arcsin(4x))^{x})
(\partial)/(\partial x)((zx-y)/(sqrt(x)))
\frac{\partial\:}{\partial\:x}(\frac{zx-y}{\sqrt{x}})
derivative of 3^x-1
\frac{d}{dx}(3^{x}-1)
integral from 0 to 2 of r^3
\int\:_{0}^{2}r^{3}dr
integral from 0 to infinity of sin(7x)
\int\:_{0}^{\infty\:}\sin(7x)dx
integral of-3/2 x^2+3x^4-2
\int\:-\frac{3}{2}x^{2}+3x^{4}-2dx
derivative of 1/2 sec(x-1/3 csc(x))
\frac{d}{dx}(\frac{1}{2}\sec(x)-\frac{1}{3}\csc(x))
integral of 2/3 sqrt(x)
\int\:\frac{2}{3}\sqrt{x}dx
derivative of 14x
\frac{d}{dx}(14x)
t^2y^'+ty=4,y(1)=3
t^{2}y^{\prime\:}+ty=4,y(1)=3
limit as x approaches 3 of 2x^3-4x^2+x-7
\lim\:_{x\to\:3}(2x^{3}-4x^{2}+x-7)
(\partial)/(\partial x)(tan(3x^2+2x))
\frac{\partial\:}{\partial\:x}(\tan(3x^{2}+2x))
integral of \sqrt[4]{3x-8}
\int\:\sqrt[4]{3x-8}dx
integral of 144-x^2
\int\:144-x^{2}dx
area y=e^x,y=10e^{-x}+3,x=0
area\:y=e^{x},y=10e^{-x}+3,x=0
limit as x approaches 1 of x^4
\lim\:_{x\to\:1}(x^{4})
derivative of 8/(x^2)
derivative\:\frac{8}{x^{2}}
tangent of f(x)=x^2-7,(5,18)
tangent\:f(x)=x^{2}-7,(5,18)
limit as x approaches 4 of 5x-2
\lim\:_{x\to\:4}(5x-2)
integral of 3/(x(x^4+8))
\int\:\frac{3}{x(x^{4}+8)}dx
y^'+9(tan(9x))y=-cos(9x)
y^{\prime\:}+9(\tan(9x))y=-\cos(9x)
(\partial)/(\partial y)(ln(x^2+xy))
\frac{\partial\:}{\partial\:y}(\ln(x^{2}+xy))
derivative of (\sqrt[3]{t})/(t-3)
derivative\:\frac{\sqrt[3]{t}}{t-3}
derivative of (f(x(6x))^2-4)
\frac{d}{dx}((f(x)(6x))^{2}-4)
(\partial)/(\partial x)(x^3-5x^2y+7xy^3)
\frac{\partial\:}{\partial\:x}(x^{3}-5x^{2}y+7xy^{3})
integral of 1/(2-e^{-x)}
\int\:\frac{1}{2-e^{-x}}dx
(\partial)/(\partial y)(x^2-xyz)
\frac{\partial\:}{\partial\:y}(x^{2}-xyz)
integral of e^{3x}-1/((x+4)^2)
\int\:e^{3x}-\frac{1}{(x+4)^{2}}dx
integral of 1/(x(ln(x^6))^8)
\int\:\frac{1}{x(\ln(x^{6}))^{8}}dx
integral of (2x^1)/((x^5)^3)
\int\:\frac{2x^{1}}{(x^{5})^{3}}dx
integral of 1/x+1/(2-x)
\int\:\frac{1}{x}+\frac{1}{2-x}dx
area x^2+1,-2,-2,2
area\:x^{2}+1,-2,-2,2
limit as x approaches 4 of (6x-7)^2
\lim\:_{x\to\:4}((6x-7)^{2})
integral of x^{17}
\int\:x^{17}dx
integral of 1/(sqrt(1+x+y))
\int\:\frac{1}{\sqrt{1+x+y}}dx
integral of 8xe^{3x}
\int\:8xe^{3x}dx
(7x+8)+(7y-7)y^'=0
(7x+8)+(7y-7)y^{\prime\:}=0
integral of 1/(tan^2(x))
\int\:\frac{1}{\tan^{2}(x)}dx
integral of 1 1/t
\int\:1\frac{1}{t}dt
derivative of x^{11}arccos(x)
derivative\:x^{11}\arccos(x)
area x^3-8x^2+18x-5,x+5
area\:x^{3}-8x^{2}+18x-5,x+5
derivative of (3x+2/(x^2+1))
\frac{d}{dx}(\frac{3x+2}{x^{2}+1})
tangent of g(x)=e^{x^5},(-1, 1/e)
tangent\:g(x)=e^{x^{5}},(-1,\frac{1}{e})
(\partial)/(\partial x)(2ln(x))
\frac{\partial\:}{\partial\:x}(2\ln(x))
laplacetransform t^2e^{2t}
laplacetransform\:t^{2}e^{2t}
limit as b approaches infinity of bc
\lim\:_{b\to\:\infty\:}(bc)
integral of 1/(sqrt(5+3x^2))
\int\:\frac{1}{\sqrt{5+3x^{2}}}dx
tangent of 24sqrt(x)-4x
tangent\:24\sqrt{x}-4x
(dy)/(dx)= 1/2 x+1
\frac{dy}{dx}=\frac{1}{2}x+1
area f(x)= 1/x ,g(x)= 1/3 ,[2,5]
area\:f(x)=\frac{1}{x},g(x)=\frac{1}{3},[2,5]
derivative of (7u^2)/((u^2+u)^3)
derivative\:\frac{7u^{2}}{(u^{2}+u)^{3}}
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