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Popular Calculus Problems

integral of x^3(4x^2+5)	\int\:x^{3}(4x^{2}+5)dx
integral of 1/(x^{9/2)}	\int\:\frac{1}{x^{\frac{9}{2}}}dx
inverse oflaplace (6(s+34))/(s(s^2+10s+34))	inverselaplace\:\frac{6(s+34)}{s(s^{2}+10s+34)}
normal of f(x)=x^4+5e^x,(0,5)	normal\:f(x)=x^{4}+5e^{x},(0,5)
derivative of f(x)=ax	derivative\:f(x)=ax
integral from-infinity to 0 of x*e^x	\int\:_{-\infty\:}^{0}x\cdot\:e^{x}dx
(dx)/(dt)=x^2e^{-2t}	\frac{dx}{dt}=x^{2}e^{-2t}
integral of ((3-x)/(sqrt(x^2-6x+2)))	\int\:(\frac{3-x}{\sqrt{x^{2}-6x+2}})dx
derivative of cos((pix/4))	\frac{d}{dx}(\cos(\frac{πx}{4}))
tangent of f(x)=x^2,\at x=-3	tangent\:f(x)=x^{2},\at\:x=-3
limit as x approaches 4 of (x^{q(x)}(4-x))/(e^{4-x)-1}	\lim\:_{x\to\:4}(\frac{x^{q(x)}(4-x)}{e^{4-x}-1})
limit as x approaches 9 of 7/(x-9)	\lim\:_{x\to\:9}(\frac{7}{x-9})
derivative of 1-3log_{5}(x)	derivative\:1-3\log_{5}(x)
(2xe^{x+3}+e^{x+3}x^2)^'	(2xe^{x+3}+e^{x+3}x^{2})^{\prime\:}
(d^4)/(dx^4)(7e^{x^2})	\frac{d^{4}}{dx^{4}}(7e^{x^{2}})
y^'+5x^{-1}y=x^6	y^{\prime\:}+5x^{-1}y=x^{6}
limit as x approaches 3 of 3/(x-3)	\lim\:_{x\to\:3}(\frac{3}{x-3})
derivative of ln(7-x^2)	derivative\:\ln(7-x^{2})
sum from n=0 to infinity of (1/6)^{n+1}	\sum\:_{n=0}^{\infty\:}(\frac{1}{6})^{n+1}
limit as x approaches infinity of (1-1/(2x))^{2x}	\lim\:_{x\to\:\infty\:}((1-\frac{1}{2x})^{2x})
integral of x^3-6x	\int\:x^{3}-6xdx
(x^4e^{-x})^'	(x^{4}e^{-x})^{\prime\:}
(\partial)/(\partial x)(4x-3x^4y^2)	\frac{\partial\:}{\partial\:x}(4x-3x^{4}y^{2})
integral of (t^5)/(sqrt(t^2+2))	\int\:\frac{t^{5}}{\sqrt{t^{2}+2}}dt
integral of 1/(y^{3/2)}	\int\:\frac{1}{y^{\frac{3}{2}}}dy
derivative of e^{1-x^2}	derivative\:e^{1-x^{2}}
(\partial)/(\partial z)(y*arctan(x/z))	\frac{\partial\:}{\partial\:z}(y\cdot\:\arctan(\frac{x}{z}))
(\partial)/(\partial x)(e^xxy+e^xy^2)	\frac{\partial\:}{\partial\:x}(e^{x}xy+e^{x}y^{2})
(\partial)/(\partial y)(x^y)	\frac{\partial\:}{\partial\:y}(x^{y})
((2x+y+1)dy)/(dx)=1	\frac{(2x+y+1)dy}{dx}=1
d/(dz)((az^2)/(a^2+z^2))	\frac{d}{dz}(\frac{az^{2}}{a^{2}+z^{2}})
integral of x^3sqrt(x^2-7)	\int\:x^{3}\sqrt{x^{2}-7}dx
(\partial)/(\partial t)(r*sin(t))	\frac{\partial\:}{\partial\:t}(r\cdot\:\sin(t))
integral of a(x)	\int\:a(x)dx
(\partial)/(\partial z)(3.5yzcos(xyz))	\frac{\partial\:}{\partial\:z}(3.5yz\cos(xyz))
integral of 1/(x^3sqrt(9x^2-1))	\int\:\frac{1}{x^{3}\sqrt{9x^{2}-1}}dx
derivative of (x^2/(30))	\frac{d}{dx}(\frac{x^{2}}{30})
derivative of xy+xcos(x)	\frac{d}{dx}(xy+x\cos(x))
integral of x^2+sqrt(x)	\int\:x^{2}+\sqrt{x}dx
2y^{''}+3y^'-4y=5e^{3x}	2y^{\prime\:\prime\:}+3y^{\prime\:}-4y=5e^{3x}
sum from n=1 to infinity of ((3x-2)^n)/n	\sum\:_{n=1}^{\infty\:}\frac{(3x-2)^{n}}{n}
derivative of x^3e^{-3/x}	\frac{d}{dx}(x^{3}e^{-\frac{3}{x}})
sum from n=1 to infinity of (7n)/(5n+1)	\sum\:_{n=1}^{\infty\:}\frac{7n}{5n+1}
integral of 20xsec^2(x)	\int\:20x\sec^{2}(x)dx
(\partial)/(\partial y)((x^2)/(1+y^2))	\frac{\partial\:}{\partial\:y}(\frac{x^{2}}{1+y^{2}})
derivative of-a/x+b/(x^2)	\frac{d}{dx}(-\frac{a}{x}+\frac{b}{x^{2}})
derivative of-sin(2x)	derivative\:-\sin(2x)
sum from n=0 to infinity of 6	\sum\:_{n=0}^{\infty\:}6
limit as x approaches infinity of pi	\lim\:_{x\to\:\infty\:}(π)
area x=4y^3,x=4y^2	area\:x=4y^{3},x=4y^{2}
limit as x approaches 0 of ln(1+3x)	\lim\:_{x\to\:0}(\ln(1+3x))
integral of 1/(x*sqrt(x-1))	\int\:\frac{1}{x\cdot\:\sqrt{x-1}}dx
(\partial)/(\partial x)(sqrt((x+4)/(y+4)))	\frac{\partial\:}{\partial\:x}(\sqrt{\frac{x+4}{y+4}})
limit as x approaches 2 of 3x^2-7x	\lim\:_{x\to\:2}(3x^{2}-7x)
integral of (x^2)/(x^3+4)	\int\:\frac{x^{2}}{x^{3}+4}dx
integral of 1/(2-cos(x))	\int\:\frac{1}{2-\cos(x)}dx
maclaurin e^x(1+x)^{-1}	maclaurin\:e^{x}(1+x)^{-1}
(\partial)/(\partial x)(2x+2y)	\frac{\partial\:}{\partial\:x}(2x+2y)
derivative of f(x)= 1/(x-3)	derivative\:f(x)=\frac{1}{x-3}
integral of ((x+6))/(x^2+9)	\int\:\frac{(x+6)}{x^{2}+9}dx
inverse oflaplace (s+1)/(s^2-3s+2)	inverselaplace\:\frac{s+1}{s^{2}-3s+2}
(\partial)/(\partial x)(9x+y+7xy)	\frac{\partial\:}{\partial\:x}(9x+y+7xy)
f^'(x)=sqrt(1-2x)	f^{\prime\:}(x)=\sqrt{1-2x}
limit as x approaches infinity of x^2+5x	\lim\:_{x\to\:\infty\:}(x^{2}+5x)
derivative of sqrt(3x+6)	\frac{d}{dx}(\sqrt{3x+6})
integral of (x^8-16)^9x^7	\int\:(x^{8}-16)^{9}x^{7}dx
derivative of (e^{t/2}-e)^{-1/3}	derivative\:(e^{\frac{t}{2}}-e)^{-\frac{1}{3}}
(\partial)/(\partial x)((e^y)/(x+y^4))	\frac{\partial\:}{\partial\:x}(\frac{e^{y}}{x+y^{4}})
derivative of log_{b}(3)	derivative\:\log_{b}(3)
(\partial)/(\partial x)(e^{2sqrt(x+y)})	\frac{\partial\:}{\partial\:x}(e^{2\sqrt{x+y}})
derivative of y=-6x^5+2	derivative\:y=-6x^{5}+2
derivative of x/(e^x-1)	derivative\:\frac{x}{e^{x}-1}
derivative of (9x)^{csc(6x)}	derivative\:(9x)^{\csc(6x)}
integral of (sin(inx))/x	\int\:\frac{\sin(inx)}{x}dx
integral of 8cos(3x)	\int\:8\cos(3x)dx
laplacetransform 4+7x+x^2+δ	laplacetransform\:4+7x+x^{2}+δ
limit as x approaches 0 of (7x^2)/(x^2)	\lim\:_{x\to\:0}(\frac{7x^{2}}{x^{2}})
limit as x approaches 5 of 75	\lim\:_{x\to\:5}(75)
d/(dt)(a(t-sin(t)))	\frac{d}{dt}(a(t-\sin(t)))
derivative of 7/x	derivative\:\frac{7}{x}
integral from 0 to 70 of 0.65(70-x)	\int\:_{0}^{70}0.65(70-x)dx
derivative of 1/12 (e^{6x}+e^{-6x})	\frac{d}{dx}(\frac{1}{12}(e^{6x}+e^{-6x}))
integral of (x^2-4x)	\int\:(x^{2}-4x)dx
limit as x approaches-3-of ln(x+3)	\lim\:_{x\to\:-3-}(\ln(x+3))
derivative of tan^4(4x)	\frac{d}{dx}(\tan^{4}(4x))
integral of 2x^3-2/3 x^2+9x	\int\:2x^{3}-\frac{2}{3}x^{2}+9xdx
integral of (12)/((1+x+y)^5)	\int\:\frac{12}{(1+x+y)^{5}}dy
x^2y^'+x(x+2)y=ex	x^{2}y^{\prime\:}+x(x+2)y=ex
limit as x approaches 0 of 3^{sin(1/x)}	\lim\:_{x\to\:0}(3^{\sin(\frac{1}{x})})
(dy)/(dx)+1/x y=2	\frac{dy}{dx}+\frac{1}{x}y=2
derivative of 3^{ln(x})	\frac{d}{dx}(3^{\ln(x)})
integral of (2-x)/2	\int\:\frac{2-x}{2}dx
derivative of (x-9/(4x^2e^x))	\frac{d}{dx}(\frac{x-9}{4x^{2}e^{x}})
(\partial)/(\partial x)(xln(x)-x)	\frac{\partial\:}{\partial\:x}(x\ln(x)-x)
integral of 5cos(t)	\int\:5\cos(t)dt
derivative of sqrt(x)+\sqrt[7]{x}	derivative\:\sqrt{x}+\sqrt[7]{x}
derivative of f(x)=(4x-2x^3)(4+sqrt(x))	derivative\:f(x)=(4x-2x^{3})(4+\sqrt{x})
integral from 0 to sqrt(3 of)x^2-1	\int\:_{0}^{\sqrt{3}}x^{2}-1dx
derivative of y=sqrt(sin(x))	derivative\:y=\sqrt{\sin(x)}
derivative of \sqrt[3]{5-x}	derivative\:\sqrt[3]{5-x}

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