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Popular Calculus Problems

derivative of cot(x/2)	\frac{d}{dx}(\cot(\frac{x}{2}))
(\partial)/(\partial x)(8y-(x+y)^3)	\frac{\partial\:}{\partial\:x}(8y-(x+y)^{3})
derivative of 5cos^2(pix)	\frac{d}{dx}(5\cos^{2}(πx))
derivative of (2x+1/(1-x))	\frac{d}{dx}(\frac{2x+1}{1-x})
derivative of f(1)=-x^2+6x-3	derivative\:f(1)=-x^{2}+6x-3
integral of 1/(sqrt(4x^2-1))	\int\:\frac{1}{\sqrt{4x^{2}-1}}dx
derivative of 2x^7-3x^4+4x^3-12x+4	\frac{d}{dx}(2x^{7}-3x^{4}+4x^{3}-12x+4)
derivative of (1-sin(x)/(1+cos(x)))	\frac{d}{dx}(\frac{1-\sin(x)}{1+\cos(x)})
derivative of xcos(y)	\frac{d}{dx}(x\cos(y))
integral from 0 to 10 of 2200e^{0.024x}-1460e^{0.018x}	\int\:_{0}^{10}2200e^{0.024x}-1460e^{0.018x}dx
integral of 1/T	\int\:\frac{1}{T}dT
sum from n=1 to infinity of 1/(n-1)	\sum\:_{n=1}^{\infty\:}\frac{1}{n-1}
derivative of (1-4t)/(1+3t)	derivative\:\frac{1-4t}{1+3t}
limit as x approaches 1 of 1+cos(pi)x	\lim\:_{x\to\:1}(1+\cos(π)x)
integral from 0 to 1 of (2t-1)^2	\int\:_{0}^{1}(2t-1)^{2}dt
derivative of sin^2(5x-3)	\frac{d}{dx}(\sin^{2}(5x-3))
(dy)/(dx)+5/x*y=0	\frac{dy}{dx}+\frac{5}{x}\cdot\:y=0
derivative of-8x^{-1}+4x^{-2}-7	derivative\:-8x^{-1}+4x^{-2}-7
sum from n=0 to infinity of 12^nx^n	\sum\:_{n=0}^{\infty\:}12^{n}x^{n}
(\partial)/(\partial y)((x-3)^2+(y-4)^2)	\frac{\partial\:}{\partial\:y}((x-3)^{2}+(y-4)^{2})
integral from-1 to 1 of x^{100}	\int\:_{-1}^{1}x^{100}dx
simplify 5/(sqrt(1-x^2))	simplify\:\frac{5}{\sqrt{1-x^{2}}}
derivative of (3x^4(2x^5))	\frac{d}{dx}((3x^{4})(2x^{5}))
integral of e^{3x-5}	\int\:e^{3x-5}dx
derivative of (3x+1/(2x-5))	\frac{d}{dx}(\frac{3x+1}{2x-5})
integral from b to 2b of x^4	\int\:_{b}^{2b}x^{4}dx
derivative of x^3e^{-3x}	\frac{d}{dx}(x^{3}e^{-3x})
derivative of 5e^{4x}-cos^2(2e^x)	\frac{d}{dx}(5e^{4x}-\cos^{2}(2e^{x}))
integral of sin^2(2θ)	\int\:\sin^{2}(2θ)dθ
y^{'''}-5y^{''}+6y^'+12y=0	y^{\prime\:\prime\:\prime\:}-5y^{\prime\:\prime\:}+6y^{\prime\:}+12y=0
derivative of 4/3 x^3+2	\frac{d}{dx}(\frac{4}{3}x^{3}+2)
integral from 0 to infinity of 7/(x^2+1)	\int\:_{0}^{\infty\:}\frac{7}{x^{2}+1}dx
integral of 1/(x^8+x^6)	\int\:\frac{1}{x^{8}+x^{6}}dx
limit as x approaches 0+of x(ln(4x))^2	\lim\:_{x\to\:0+}(x(\ln(4x))^{2})
tangent of y=x^4+5x^2-x,(1,5)	tangent\:y=x^{4}+5x^{2}-x,(1,5)
tdt+ye^{-t}dy=0,y(0)=1	tdt+ye^{-t}dy=0,y(0)=1
y^{''}+4y^'+3y=e^x	y^{\prime\:\prime\:}+4y^{\prime\:}+3y=e^{x}
derivative of x^{ln(x})	\frac{d}{dx}(x^{\ln(x)})
derivative of 9x^2-2x+1	\frac{d}{dx}(9x^{2}-2x+1)
derivative of xsin(4/x)	derivative\:x\sin(\frac{4}{x})
integral from 0 to 1 of 2pi(x)(x-x^2)	\int\:_{0}^{1}2π(x)(x-x^{2})dx
derivative of log_{7}((x^4/(5x+11)))	\frac{d}{dx}(\log_{7}(\frac{x^{4}}{5x+11}))
derivative of x^2(1-4x)	derivative\:x^{2}(1-4x)
derivative of x(x^3+1^{1/3})	\frac{d}{dx}(x(x^{3}+1)^{\frac{1}{3}})
derivative of xsqrt(a^2+x^2)	\frac{d}{dx}(x\sqrt{a^{2}+x^{2}})
laplacetransform t^3*sin(3t)	laplacetransform\:t^{3}\cdot\:\sin(3t)
(\partial)/(\partial t)(cos(2t))	\frac{\partial\:}{\partial\:t}(\cos(2t))
integral of 1/(xsqrt(2+x^2))	\int\:\frac{1}{x\sqrt{2+x^{2}}}dx
area x=y^2-1,x=1-y^2	area\:x=y^{2}-1,x=1-y^{2}
derivative of 12x^2-48x	derivative\:12x^{2}-48x
(dy)/(dx)=y+3	\frac{dy}{dx}=y+3
integral of x^2sqrt(x^3-1)	\int\:x^{2}\sqrt{x^{3}-1}dx
integral of sqrt(sin(x))cos^5(x)	\int\:\sqrt{\sin(x)}\cos^{5}(x)dx
inverse oflaplace 2/(s^2(s+2))	inverselaplace\:\frac{2}{s^{2}(s+2)}
integral of sqrt(5x+3)	\int\:\sqrt{5x+3}dx
area x^3-3x^2+4,-2,3	area\:x^{3}-3x^{2}+4,-2,3
integral of (x+8)/(x^2+4)	\int\:\frac{x+8}{x^{2}+4}dx
integral of (16x)/(sqrt(8x^2+1))	\int\:\frac{16x}{\sqrt{8x^{2}+1}}dx
derivative of {f}(x(3x))	\frac{d}{dx}({f}(x)(3x))
integral of sin(7t)	\int\:\sin(7t)dt
derivative of sqrt(x)+1/(\sqrt[3]{x^4})	\frac{d}{dx}(\sqrt{x}+\frac{1}{\sqrt[3]{x^{4}}})
(\partial)/(\partial x)(-e^{-y/x})	\frac{\partial\:}{\partial\:x}(-e^{-\frac{y}{x}})
integral of (3^{ln(x)})/x	\int\:\frac{3^{\ln(x)}}{x}dx
(\partial)/(\partial u)(v^2)	\frac{\partial\:}{\partial\:u}(v^{2})
integral of 1/((x^2)^2)x^2)^2	\int\:\frac{1}{(x^{2})^{2}}d(x^{2})^{2}
(\partial)/(\partial x)(2x^4y+cos(x^3))	\frac{\partial\:}{\partial\:x}(2x^{4}y+\cos(x^{3}))
integral from 7 to 8 of 1/(x^2-1)	\int\:_{7}^{8}\frac{1}{x^{2}-1}dx
integral of 9/(x(x-9)^2)	\int\:\frac{9}{x(x-9)^{2}}dx
integral of (tan^2(x)4)	\int\:(\tan^{2}(x)4)dx
derivative of e^{2x^6}-1	\frac{d}{dx}(e^{2x^{6}}-1)
(\partial)/(\partial y)(ln(x^6+y^7))	\frac{\partial\:}{\partial\:y}(\ln(x^{6}+y^{7}))
limit as x approaches 6-of cos(1/(x-6))	\lim\:_{x\to\:6-}(\cos(\frac{1}{x-6}))
(\partial)/(\partial y)(x^2+y^2+xy)	\frac{\partial\:}{\partial\:y}(x^{2}+y^{2}+xy)
derivative of (10/((1-x)^3))	\frac{d}{dx}(\frac{10}{(1-x)^{3}})
integral of (-6/(x^4))	\int\:(-\frac{6}{x^{4}})dx
integral of (2x-3)/((x^2+2x-3)^{3/2)}	\int\:\frac{2x-3}{(x^{2}+2x-3)^{\frac{3}{2}}}dx
derivative of 2^t	derivative\:2^{t}
integral of (8x-2)/(x^2-1)	\int\:\frac{8x-2}{x^{2}-1}dx
integral of e^{sqrt(9x)}	\int\:e^{\sqrt{9x}}dx
limit as x approaches 2 of x+6	\lim\:_{x\to\:2}(x+6)
d/(dt)(sqrt(x)ln(t))	\frac{d}{dt}(\sqrt{x}\ln(t))
area y=x^3-x,y=3x,-2,2	area\:y=x^{3}-x,y=3x,-2,2
derivative of (1+3x^2(x-x^2))	\frac{d}{dx}((1+3x^{2})(x-x^{2}))
derivative of (-4x+sqrt(1+x)/(x^2-1))	\frac{d}{dx}(\frac{-4x+\sqrt{1+x}}{x^{2}-1})
tangent of y=2^{x^2-3x+5},\at x=4	tangent\:y=2^{x^{2}-3x+5},\at\:x=4
integral of 1/(x(x+4)^2)	\int\:\frac{1}{x(x+4)^{2}}dx
derivative of 37arctan(sqrt(x))	derivative\:37\arctan(\sqrt{x})
integral from 1 to 3 of \sqrt[3]{x}(x-4)	\int\:_{1}^{3}\sqrt[3]{x}(x-4)dx
implicit (dy)/(dx),e^{4x}=sin(x+5y)	implicit\:\frac{dy}{dx},e^{4x}=\sin(x+5y)
derivative of (e^x)/(1+x)	derivative\:\frac{e^{x}}{1+x}
y^{''}-4y^'+6y=e^{3x}-21	y^{\prime\:\prime\:}-4y^{\prime\:}+6y=e^{3x}-21
integral of (sin(x))/(1+cos^2(x))	\int\:\frac{\sin(x)}{1+\cos^{2}(x)}dx
integral of (e^{-x}-e^3)(e^x+e^{-5})	\int\:(e^{-x}-e^{3})(e^{x}+e^{-5})dx
p^'	p^{\prime\:}
derivative of x^3-7x^2	\frac{d}{dx}(x^{3}-7x^{2})
d/(dy)(x^2y)	\frac{d}{dy}(x^{2}y)
integral of x(x^2-4)^2	\int\:x(x^{2}-4)^{2}dx
tangent of f(x)=625-4.9x^2,\at x=4	tangent\:f(x)=625-4.9x^{2},\at\:x=4
(\partial)/(\partial x)(x^2-2xy+y)	\frac{\partial\:}{\partial\:x}(x^{2}-2xy+y)
slope of (0,0),(8,6)	slope\:(0,0),(8,6)

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