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Popular Calculus Problems

derivative of y=12(ln(2x)3)	derivative\:y=12(\ln(2x)3)
laplacetransform 7e^{2t}	laplacetransform\:7e^{2t}
derivative of x^3ln(2x)	\frac{d}{dx}(x^{3}\ln(2x))
derivative of 1/(16x^2)	\frac{d}{dx}(\frac{1}{16x^{2}})
(dy)/(dt)=-2y	\frac{dy}{dt}=-2y
integral of (x+3)/(x(x-1)(x+4))	\int\:\frac{x+3}{x(x-1)(x+4)}dx
(\partial)/(\partial x)(60e^{x^6y}x^5y)	\frac{\partial\:}{\partial\:x}(60e^{x^{6}y}x^{5}y)
inverse oflaplace 1/(3s+5)	inverselaplace\:\frac{1}{3s+5}
derivative of (x^2+3x/(-6))	\frac{d}{dx}(\frac{x^{2}+3x}{-6})
(\partial)/(\partial x)(ln(x^6+y^7))	\frac{\partial\:}{\partial\:x}(\ln(x^{6}+y^{7}))
derivative of 3arcsin(x^4)	\frac{d}{dx}(3\arcsin(x^{4}))
integral of (2x^3)/(sqrt(1+x^4))	\int\:\frac{2x^{3}}{\sqrt{1+x^{4}}}dx
integral of (2t-1)/(t^2-2t+1)	\int\:\frac{2t-1}{t^{2}-2t+1}dt
derivative of-5sin(5x)	\frac{d}{dx}(-5\sin(5x))
integral of 1/(usqrt(1+u^2))	\int\:\frac{1}{u\sqrt{1+u^{2}}}du
derivative of 7sin(337x+(7pi/(18)))	\frac{d}{dx}(7\sin(337x+\frac{7π}{18}))
integral of (2x+6)/(x^2+2x+5)	\int\:\frac{2x+6}{x^{2}+2x+5}dx
partialfraction (x^2)/(1-x^2)	partialfraction\:\frac{x^{2}}{1-x^{2}}
(y^3-1)e^x+3y^2(e^x+1)(dy)/(dx)=0,y(0)=2	(y^{3}-1)e^{x}+3y^{2}(e^{x}+1)\frac{dy}{dx}=0,y(0)=2
taylor 5^t,0	taylor\:5^{t},0
integral from 0 to 1 of (u+7)(u-8)	\int\:_{0}^{1}(u+7)(u-8)du
integral of 2e^{4x}	\int\:2e^{4x}dx
inverse oflaplace 5/(3(s+3)^2+27)	inverselaplace\:\frac{5}{3(s+3)^{2}+27}
limit as x approaches-1 of x/(x-1)	\lim\:_{x\to\:-1}(\frac{x}{x-1})
area f(x)=-x^2+6x-8,4,-2	area\:f(x)=-x^{2}+6x-8,4,-2
integral of 1/(sqrt(6x+1))	\int\:\frac{1}{\sqrt{6x+1}}dx
integral from 0 to 6 of te^{-t}	\int\:_{0}^{6}te^{-t}dt
integral of y/(sqrt(25-36y^4))	\int\:\frac{y}{\sqrt{25-36y^{4}}}dy
integral of (t^6)/(sqrt(1-t^{14))}	\int\:\frac{t^{6}}{\sqrt{1-t^{14}}}dt
limit as x approaches a+of g(x)	\lim\:_{x\to\:a+}(g(x))
integral of x^3*cos(x)	\int\:x^{3}\cdot\:\cos(x)dx
derivative of 9z^2e^z	derivative\:9z^{2}e^{z}
integral of x^5ln(8x)	\int\:x^{5}\ln(8x)dx
integral of 1/(7x(ln(5x))^6)	\int\:\frac{1}{7x(\ln(5x))^{6}}dx
integral of 1/(sqrt(25+9x^2))	\int\:\frac{1}{\sqrt{25+9x^{2}}}dx
integral of e^{-st}sin(4t)	\int\:e^{-st}\sin(4t)dt
integral from 4 to 8 of t^4ln(3t)	\int\:_{4}^{8}t^{4}\ln(3t)dt
integral of t^2e^{5t}	\int\:t^{2}e^{5t}dt
derivative of e^{2x^2-5x}	\frac{d}{dx}(e^{2x^{2}-5x})
integral of-(2x)/(1-x^2)	\int\:-\frac{2x}{1-x^{2}}dx
inverse oflaplace 2/(s^2+4)	inverselaplace\:\frac{2}{s^{2}+4}
integral of (5-3sin(2x))/(sec(6x))	\int\:\frac{5-3\sin(2x)}{\sec(6x)}dx
integral of ((x^2+1)/x)	\int\:(\frac{x^{2}+1}{x})dx
derivative of 1/(4+x^2)	derivative\:\frac{1}{4+x^{2}}
derivative of ln((8-x)/(8+x))	derivative\:\ln(\frac{8-x}{8+x})
integral of 1/(sqrt(x)+2)	\int\:\frac{1}{\sqrt{x}+2}dx
inverse oflaplace (-s-4)/(s^2+4s+3)	inverselaplace\:\frac{-s-4}{s^{2}+4s+3}
integral of 1/(1+11x)	\int\:\frac{1}{1+11x}dx
limit as x approaches infinity of x+1/x	\lim\:_{x\to\:\infty\:}(x+\frac{1}{x})
derivative of xsin(ln(x))	\frac{d}{dx}(x\sin(\ln(x)))
sum from n=0 to infinity of 1/(n+19)	\sum\:_{n=0}^{\infty\:}\frac{1}{n+19}
derivative of ln(pix)	\frac{d}{dx}(\ln(πx))
(dy)/(dx)=(3x^2+4x+2)/(2(y-1)),y(0)=-1	\frac{dy}{dx}=\frac{3x^{2}+4x+2}{2(y-1)},y(0)=-1
y^'=sin^2(x-y+1)	y^{\prime\:}=\sin^{2}(x-y+1)
(dy)/(dx)+2y=x	\frac{dy}{dx}+2y=x
integral of 1/(sqrt(144-x^2))	\int\:\frac{1}{\sqrt{144-x^{2}}}dx
integral of arccot(8y)	\int\:\arccot(8y)dy
integral from 0 to t of e^{-2t}sin(5t)	\int\:_{0}^{t}e^{-2t}\sin(5t)dt
derivative of 9cos^3(x)	\frac{d}{dx}(9\cos^{3}(x))
integral of 3/(xln(2x))	\int\:\frac{3}{x\ln(2x)}dx
integral of (20x^3-40x^2+7)/(x^2-2x)	\int\:\frac{20x^{3}-40x^{2}+7}{x^{2}-2x}dx
integral of cos(ln(5x))	\int\:\cos(\ln(5x))dx
integral of 4/15 x^{5/2}+9cos(x)+Cx+C	\int\:\frac{4}{15}x^{\frac{5}{2}}+9\cos(x)+Cx+Cdx
integral of 1/(x^2)+1/x	\int\:\frac{1}{x^{2}}+\frac{1}{x}dx
derivative of ln(ln(6x))	\frac{d}{dx}(\ln(\ln(6x)))
derivative of x^2ln(1/x)	\frac{d}{dx}(x^{2}\ln(\frac{1}{x}))
(\partial)/(\partial x)(9cos(xy)x)	\frac{\partial\:}{\partial\:x}(9\cos(xy)x)
derivative of sin^2(x^2-1)	derivative\:\sin^{2}(x^{2}-1)
derivative of e^{2*(x-1})	\frac{d}{dx}(e^{2\cdot\:(x-1)})
integral of (-10x^2)/((x^3+2)^{-3)}	\int\:\frac{-10x^{2}}{(x^{3}+2)^{-3}}dx
derivative of (250/((1+5x)^3))	\frac{d}{dx}(\frac{250}{(1+5x)^{3}})
integral of e^{3t}*t	\int\:e^{3t}\cdot\:tdt
derivative of a-bx^2	\frac{d}{dx}(a-bx^{2})
integral from 1 to 2 of (2x-3)^2	\int\:_{1}^{2}(2x-3)^{2}dx
inverse oflaplace 2/(3s^2+6s+2)	inverselaplace\:\frac{2}{3s^{2}+6s+2}
integral of 1+2sin((x^2)/2)	\int\:1+2\sin(\frac{x^{2}}{2})dx
integral from 0 to 1 of (x-x^3)	\int\:_{0}^{1}(x-x^{3})dx
derivative of f(x)=arccos(-3x)	derivative\:f(x)=\arccos(-3x)
tangent of y=sin(x)cos(x)	tangent\:y=\sin(x)\cos(x)
derivative of-1/((x-2)^2)	derivative\:-\frac{1}{(x-2)^{2}}
y^'+5y=3sin(e^{5x})	y^{\prime\:}+5y=3\sin(e^{5x})
limit as x approaches 1 of-2	\lim\:_{x\to\:1}(-2)
derivative of 4x-7	derivative\:4x-7
tangent of y=2x^2-3x+1,(3,10)	tangent\:y=2x^{2}-3x+1,(3,10)
derivative of x+8/x	\frac{d}{dx}(x+\frac{8}{x})
limit as x approaches 1 of (cos(pix))/3	\lim\:_{x\to\:1}(\frac{\cos(πx)}{3})
limit as x approaches infinity of (((-4)^{x+1}))/((x+1)*4^{x+1)}	\lim\:_{x\to\:\infty\:}(\frac{((-4)^{x+1})}{(x+1)\cdot\:4^{x+1}})
y^{''}+36y=24sin(6t)	y^{\prime\:\prime\:}+36y=24\sin(6t)
tangent of y= 1/(7t^3)	tangent\:y=\frac{1}{7t^{3}}
integral from 2 to 3 of (38)/(sqrt(3-x))	\int\:_{2}^{3}\frac{38}{\sqrt{3-x}}dx
3(dy)/(dx)=y^2	3\frac{dy}{dx}=y^{2}
derivative of 5x^2(x+47)	\frac{d}{dx}(5x^{2}(x+47))
integral from 0 to 1 of 6x5^x	\int\:_{0}^{1}6x5^{x}dx
limit as x approaches a of 1	\lim\:_{x\to\:a}(1)
tangent of 2x^3(2.16)	tangent\:2x^{3}(2.16)
derivative of 120	\frac{d}{dx}(120)
derivative of-8sin(8x)	\frac{d}{dx}(-8\sin(8x))
derivative of (5x^3+8x-3^{3/2})	\frac{d}{dx}((5x^{3}+8x-3)^{\frac{3}{2}})
derivative of sqrt(2^x)	\frac{d}{dx}(\sqrt{2^{x}})
3(d^2y)/(dx^2)+2(dy)/(dx)+y=0	3\frac{d^{2}y}{dx^{2}}+2\frac{dy}{dx}+y=0

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