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Popular Calculus Problems
integral of cos(2theta)heta
\int\:\cos(2\theta)d\theta
integral of 1/(7x+2)
\int\:\frac{1}{7x+2}dx
derivative of-y^2x
\frac{d}{dx}(-y^{2}x)
integral of (8x+1-9e^x)
\int\:(8x+1-9e^{x})dx
derivative of f(x)=-5/(\sqrt[3]{x)}
derivative\:of\:f(x)=-\frac{5}{\sqrt[3]{x}}
integral of-4/x
\int\:-\frac{4}{x}dx
derivative of f(x)=3x^2+2ax+b
derivative\:of\:f(x)=3x^{2}+2ax+b
integral of sin(13x)
\int\:\sin(13x)dx
1/2*(dy)/(dx)=(2x)/(3y)
\frac{1}{2}\cdot\:\frac{dy}{dx}=\frac{2x}{3y}
derivative of 10x(x^2+7)^4
derivative\:of\:10x(x^{2}+7)^{4}
integral of (10)/((25x^2+1)^2)
\int\:\frac{10}{(25x^{2}+1)^{2}}dx
laplace 1/2 t
laplace\:\frac{1}{2}t
slope of (9,11)\land (-7,11)
slope\:(9,11)\land\:(-7,11)
tangent of (x-2)(x2+4)
tangent\:of\:(x-2)(x2+4)
inverse of laplace f(s)= 1/(s(s-3))
inverse\:laplace\:f(s)=\frac{1}{s(s-3)}
derivative of 2x^2+2x+3
derivative\:of\:2x^{2}+2x+3
integral of (x-2)/(x^3)
\int\:\frac{x-2}{x^{3}}dx
derivative of 5/(2x^2)
\frac{d}{dx}(\frac{5}{2x^{2}})
derivative of-2/(9(1+x)^{5/3)}
derivative\:of\:-\frac{2}{9(1+x)^{\frac{5}{3}}}
partial derivative of cos(xln(y))
\frac{\partial}{\partial\:x}(\cos(xln(y)))
area =y=2x^2,y=2x+6
area\:=y=2x^{2},y=2x+6
integral of 1/(t^2sqrt(400-t^2))
\int\:\frac{1}{t^{2}\sqrt{400-t^{2}}}dt
slope of (1,1)(4,-1/2)
slope\:(1,1)(4,-\frac{1}{2})
limit as x approaches 1+of (x+10)/(x+3)
\lim_{x\to\:1+}(\frac{x+10}{x+3})
derivative of tan((pi x/2))
\frac{d}{dx}(\tan(\frac{\pi\:x}{2}))
(\partial)/(\partial x)(x+y^3)
\frac{\partial\:}{\partial\:x}(x+y^{3})
tangent of (-8x)/((x^2+1)),\at (-1,4)
tangent\:of\:\frac{-8x}{(x^{2}+1)},\at\:(-1,4)
integral of 3x^2-2y^2
\int\:3x^{2}-2y^{2}dx
implicit derivative of (dy)/(dx),x^6-5xy^3=9xy
implicit\:derivative\:\frac{dy}{dx},x^{6}-5xy^{3}=9xy
(dy}{dx}=\frac{xsqrt(x^2-1))/y
\frac{dy}{dx}=\frac{x\sqrt{x^{2}-1}}{y}
derivative of x^2(240-x/3)
derivative\:of\:x^{2}(240-\frac{x}{3})
(21x^2y+2xy+7y^3)dx+(x^2+y^2)dy=0
(21x^{2}y+2xy+7y^{3})dx+(x^{2}+y^{2})dy=0
laplace-9t^2
laplace\:-9t^{2}
derivative of \sqrt[3]{6+2x+x^3}
derivative\:of\:\sqrt[3]{6+2x+x^{3}}
(dy)/(dx)+2xy=4x
\frac{dy}{dx}+2xy=4x
inverse of laplace ((s-10))/((s^2-2s-3))
inverse\:laplace\:\frac{(s-10)}{(s^{2}-2s-3)}
integral of (3x)/(1+x^2)
\int\:\frac{3x}{1+x^{2}}dx
limit as x approaches-6+of sqrt(x+6)
\lim_{x\to\:-6+}(\sqrt{x+6})
limit as x approaches 0 of sqrt(2)
\lim_{x\to\:0}(\sqrt{2})
derivative of (6x-1(5x-2)^{-1})
\frac{d}{dx}((6x-1)(5x-2)^{-1})
derivative of 2(x-1^2)
\frac{d}{dx}(2(x-1)^{2})
integral from-pi to pi of x*sin(n*x)
\int_{\:-\pi}^{\pi}x\cdot\:\sin(n\cdot\:x)dx
partial derivative of 2yx-3y+y^2
\frac{\partial}{\partial\:x}(2yx-3y+y^{2})
limit as x approaches 3 of (3-x)/(|x-3|)
\lim_{x\to\:3}(\frac{3-x}{|x-3|})
y^{''}+4y^'+5y=-10x+3e^{-x}
y^{\prime\:\prime\:}+4y^{\prime\:}+5y=-10x+3e^{-x}
derivative of 1/((1-2x^{3/2)})
\frac{d}{dx}(\frac{1}{(1-2x)^{\frac{3}{2}}})
integral of ln(x)(sqrt(1-(ln(x))^2))/x
\int\:\ln(x)\frac{\sqrt{1-(\ln(x))^{2}}}{x}dx
limit as x approaches+0+of (36-4x^2)/x
\lim_{x\to\:+0+}(\frac{36-4x^{2}}{x})
integral of 4x^3-3/(x^4)
\int\:4x^{3}-\frac{3}{x^{4}}dx
partial derivative of y+z
\frac{\partial}{\partial\:z}(y+z)
integral of sin^2(pix)cos^5(pix)
\int\:\sin^{2}(πx)\cos^{5}(πx)dx
integral of x/(1-2x)
\int\:\frac{x}{1-2x}dx
inverse of laplace ((2s+1))/((s+1)^2)
inverse\:laplace\:\frac{(2s+1)}{(s+1)^{2}}
limit as x approaches-1 of 3x^4-6x+1
\lim_{x\to\:-1}(3x^{4}-6x+1)
derivative of e^w
derivative\:of\:e^{w}
integral of t^2e^{-4t}
\int\:t^{2}e^{-4t}dt
integral of 3x^2+2x
\int\:3x^{2}+2xdx
derivative of sqrt(x)(2x+4)
\frac{d}{dx}(\sqrt{x}(2x+4))
derivative of y=arcsin(x+1)
derivative\:of\:y=\arcsin(x+1)
area y=4x^2,y=x^2+6
area\:y=4x^{2},y=x^{2}+6
derivative of (x^2+x+2/(2x))
\frac{d}{dx}(\frac{x^{2}+x+2}{2x})
limit as x approaches 7 of x+2
\lim_{x\to\:7}(x+2)
derivative of a/(bx^2)
\frac{d}{dx}(\frac{a}{bx^{2}})
derivative of (ln(x))
derivative\:of\:(\ln(x))
y^{''}-2y^'+5y=5x+3
y^{\prime\:\prime\:}-2y^{\prime\:}+5y=5x+3
(\partial)/(\partial y)(xe^{yz})
\frac{\partial\:}{\partial\:y}(xe^{yz})
derivative of (2x)
derivative\:of\:(2x)
derivative of (1+xe^x)
\frac{d}{dx}((1+x)e^{x})
(\partial}{\partial z}(ln(\frac{xy)/z))
\frac{\partial\:}{\partial\:z}(\ln(\frac{xy}{z}))
integral from 1 to 5 of 7r^2ln(r)
\int_{\:1}^{5}7r^{2}\ln(r)dr
integral of 1/(sqrt(64+x^2))
\int\:\frac{1}{\sqrt{64+x^{2}}}dx
derivative of ln(x+2x)
\frac{d}{dx}(\ln(x)+2x)
integral of 1/(sqrt(2x))cos(sqrt(2x))
\int\:\frac{1}{\sqrt{2x}}\cos(\sqrt{2x})dx
integral from 0 to 1 of (1-x^7)^2
\int_{\:0}^{1}(1-x^{7})^{2}dx
derivative of ((x+4)/(x-4))^5
derivative\:of\:(\frac{x+4}{x-4})^{5}
derivative of-5/(x^4)
derivative\:of\:-\frac{5}{x^{4}}
limit as x approaches-2 of x^2-4/(x+2)
\lim_{x\to\:-2}(x^{2}-\frac{4}{x+2})
integral of (4x)/1
\int\:\frac{4x}{1}dx
(\partial)/(\partial x)(2x^2y+sin(x^3))
\frac{\partial\:}{\partial\:x}(2x^{2}y+\sin(x^{3}))
integral of 1/(sqrt(cos(x)+cos^2(x)))
\int\:\frac{1}{\sqrt{\cos(x)+\cos^{2}(x)}}dx
derivative of sin(x^2+3x+1)
\frac{d}{dx}(\sin(x^{2}+3x+1))
integral of tln(1+t)
\int\:t\ln(1+t)dt
limit as x approaches 8 of (sqrt(7+\sqrt[3]{x)}-3)/(x-8)
\lim_{x\to\:8}(\frac{\sqrt{7+\sqrt[3]{x}}-3}{x-8})
derivative of (4x/(7x-2))
\frac{d}{dx}(\frac{4x}{7x-2})
xydx-(1+x^2)dy=0
xydx-(1+x^{2})dy=0
derivative of y=3+(12)/(2-x)
derivative\:of\:y=3+\frac{12}{2-x}
integral of (3p^2-2)^2e^{-4p}
\int\:(3p^{2}-2)^{2}e^{-4p}dp
integral of 1/(4sec(y))
\int\:\frac{1}{4\sec(y)}dy
integral from 0 to 1/10 of xln(10x)
\int_{\:0}^{\frac{1}{10}}xln(10x)dx
area y=x^2,x= y/2
area\:y=x^{2},x=\frac{y}{2}
partial derivative of x/(x^2+y^2-y^2)
\frac{\partial}{\partial\:x}(\frac{x}{x^{2}+y^{2}}-y^{2})
derivative of sqrt(3-9x)
derivative\:of\:\sqrt{3-9x}
limit as x approaches 8-of (x-9)/(x-8)
\lim_{x\to\:8-}(\frac{x-9}{x-8})
limit as x approaches-2 of 3/(x^2-4)
\lim_{x\to\:-2}(\frac{3}{x^{2}-4})
limit as x approaches 0 of (5x-3)^2
\lim_{x\to\:0}((5x-3)^{2})
derivative of cos(arctan(3x))
\frac{d}{dx}(\cos(\arctan(3x)))
tangent of f(x)=3tan(x),\at x=(pi)/3
tangent\:of\:f(x)=3\tan(x),\at\:x=\frac{\pi}{3}
sum from n=4 to infinity of 8/(n^2-1)
\sum_{n=4}^{\infty\:}\frac{8}{n^{2}-1}
derivative of \sqrt[5]{3x}
\frac{d}{dx}(\sqrt[5]{3x})
integral of-sin(x)sec(x)tan(x)
\int\:-\sin(x)\sec(x)\tan(x)dx
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