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Popular Calculus Problems

integral of x/(sqrt(7-x-x^2))	\int\:\frac{x}{\sqrt{7-x-x^{2}}}dx
integral of 1/(169-16x^2)	\int\:\frac{1}{169-16x^{2}}dx
derivative of e^{xa}	\frac{d}{dx}(e^{xa})
ty^{''}+4y^'=t^2	ty^{\prime\:\prime\:}+4y^{\prime\:}=t^{2}
ff^'(xx)=xx^3-xx^2-6xx	ff^{\prime\:}(xx)=xx^{3}-xx^{2}-6xx
derivative of e^{cosh(x}cos^2(x))	\frac{d}{dx}(e^{\cosh(x)}\cos^{2}(x))
integral from 0 to 7 of-30x^2+420x	\int\:_{0}^{7}-30x^{2}+420xdx
integral of (10-10x)/(1-sqrt(x))	\int\:\frac{10-10x}{1-\sqrt{x}}dx
integral of x/(sqrt(6x-x^2))	\int\:\frac{x}{\sqrt{6x-x^{2}}}dx
derivative of 5/((x^2-2x)^2)	derivative\:\frac{5}{(x^{2}-2x)^{2}}
derivative of sin(2cos(3x))	\frac{d}{dx}(\sin(2\cos(3x)))
integral of x/((x^2+25)^{1/2)}	\int\:\frac{x}{(x^{2}+25)^{\frac{1}{2}}}dx
integral from-5 to 3 of x/(sqrt(x^2-9))	\int\:_{-5}^{3}\frac{x}{\sqrt{x^{2}-9}}dx
derivative of f(x)=(1-2t)/(3+t)	derivative\:f(x)=\frac{1-2t}{3+t}
derivative of 1/10+xe^{-x}	\frac{d}{dx}(\frac{1}{10}+xe^{-x})
derivative of e^{-3x}y	\frac{d}{dx}(e^{-3x}y)
(\partial)/(\partial x)(x^{0.3}y^{0.7})	\frac{\partial\:}{\partial\:x}(x^{0.3}y^{0.7})
y^{''}+2y^'+5y=10t^2-e^{-2t}	y^{\prime\:\prime\:}+2y^{\prime\:}+5y=10t^{2}-e^{-2t}
maclaurin 6sin(5x)	maclaurin\:6\sin(5x)
integral of ((x^3)/3)	\int\:(\frac{x^{3}}{3})dx
area x^3-2x^2+2,3x^2+5x-23	area\:x^{3}-2x^{2}+2,3x^{2}+5x-23
derivative of 1/(cot(x)-cot(x))	\frac{d}{dx}(\frac{1}{\cot(x)}-\cot(x))
limit as x approaches-3 of 1/(2x+3)	\lim\:_{x\to\:-3}(\frac{1}{2x+3})
limit as x approaches 3 of sqrt(1+1/x)	\lim\:_{x\to\:3}(\sqrt{1+\frac{1}{x}})
limit as x approaches 3-of 1/((x^2-9))	\lim\:_{x\to\:3-}(\frac{1}{(x^{2}-9)})
laplacetransform sin(2t)	laplacetransform\:\sin(2t)
derivative of (x+1^{1/3})	\frac{d}{dx}((x+1)^{\frac{1}{3}})
derivative of arcsec(x^2)	\frac{d}{dx}(\arcsec(x^{2}))
inverse oflaplace (2s)/((s+2))	inverselaplace\:\frac{2s}{(s+2)}
limit as x approaches 0 of (2x+1)/(x^2)	\lim\:_{x\to\:0}(\frac{2x+1}{x^{2}})
tangent of f(x)=8+4x^2-2x^3,\at x=1	tangent\:f(x)=8+4x^{2}-2x^{3},\at\:x=1
integral of (e^x)/(e^x-2e^{-x)}	\int\:\frac{e^{x}}{e^{x}-2e^{-x}}dx
derivative of (x^2)/((x^2+5)^3)	derivative\:\frac{x^{2}}{(x^{2}+5)^{3}}
y^'=(7x)/y	y^{\prime\:}=\frac{7x}{y}
integral of (x^2)/(8x^3-1)	\int\:\frac{x^{2}}{8x^{3}-1}dx
slope of (2.4)(1.6)	slope\:(2.4)(1.6)
tangent of f(x)= 2/(x-1),\at x=3	tangent\:f(x)=\frac{2}{x-1},\at\:x=3
integral of 2sin^2(t)	\int\:2\sin^{2}(t)dt
derivative of sqrt(x^3+4x)	\frac{d}{dx}(\sqrt{x^{3}+4x})
y^'+2y=4	y^{\prime\:}+2y=4
integral of ln(3t)	\int\:\ln(3t)dt
limit as x approaches 7 of x/(x^2+7)	\lim\:_{x\to\:7}(\frac{x}{x^{2}+7})
limit as x approaches infinity of 2*x	\lim\:_{x\to\:\infty\:}(2\cdot\:x)
sum from n=1 to infinity of (n!)/(110^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{110^{n}}
sum from n=1 to infinity of (9n)/(4n+1)	\sum\:_{n=1}^{\infty\:}\frac{9n}{4n+1}
inverse oflaplace (s+1)/((s+1)(s+1)+4)	inverselaplace\:\frac{s+1}{(s+1)(s+1)+4}
(\partial)/(\partial y)(4x^2y^3-1)	\frac{\partial\:}{\partial\:y}(4x^{2}y^{3}-1)
derivative of-4x^2-2x+3	\frac{d}{dx}(-4x^{2}-2x+3)
derivative of 7(sin(x^2)+2x^2cos(x^2))	derivative\:7(\sin(x^{2})+2x^{2}\cos(x^{2}))
derivative of 5x^3y^2+x^2sin(y^2)	\frac{d}{dx}(5x^{3}y^{2}+x^{2}\sin(y^{2}))
integral of (11x^4+11x^3+2x+1)/(x^2+x)	\int\:\frac{11x^{4}+11x^{3}+2x+1}{x^{2}+x}dx
derivative of (5e^xx^{3/2}/2+e^xx^{5/2})	\frac{d}{dx}(\frac{5e^{x}x^{\frac{3}{2}}}{2}+e^{x}x^{\frac{5}{2}})
limit as x approaches 0 of-10x	\lim\:_{x\to\:0}(-10x)
(\partial)/(\partial x)(x^2sin(x))	\frac{\partial\:}{\partial\:x}(x^{2}\sin(x))
integral of 1/(2xsqrt(x))	\int\:\frac{1}{2x\sqrt{x}}dx
integral of ln(x)sqrt(x^{13)}	\int\:\ln(x)\sqrt{x^{13}}dx
integral from 1 to 4 of 5/(x^2)	\int\:_{1}^{4}\frac{5}{x^{2}}dx
integral of e^{-x}(1+e^{2x})	\int\:e^{-x}(1+e^{2x})dx
derivative of 1/(4x+4)	\frac{d}{dx}(\frac{1}{4x+4})
f(y)=e^y	f(y)=e^{y}
integral of (x-1)/(x^2+x+1)	\int\:\frac{x-1}{x^{2}+x+1}dx
inverse oflaplace 1/(s(s^2+2s+5))	inverselaplace\:\frac{1}{s(s^{2}+2s+5)}
f(x)=(x(x^5+9)^3)	f(x)=(x(x^{5}+9)^{3})
derivative of x^3+1/(x^2+3)	\frac{d}{dx}(x^{3}+\frac{1}{x^{2}}+3)
sum from n=0 to infinity of n!(x+1)^n	\sum\:_{n=0}^{\infty\:}n!(x+1)^{n}
area f(x)=e^{6x}sin(x),0,pi	area\:f(x)=e^{6x}\sin(x),0,π
integral from 0 to infinity of e^{-t^2}	\int\:_{0}^{\infty\:}e^{-t^{2}}dt
derivative of f(x)=-3sqrt(52)	derivative\:f(x)=-3\sqrt{52}
derivative of 3e^x+4	derivative\:3e^{x}+4
limit as x approaches 1-of (x-9)/(\|x-9\|)	\lim\:_{x\to\:1-}(\frac{x-9}{\left\|x-9\right\|})
integral of 2^{3-2x}	\int\:2^{3-2x}dx
derivative of-2x^2-1	derivative\:-2x^{2}-1
limit as x approaches pi/6 of cos(-5x)	\lim\:_{x\to\:\frac{π}{6}}(\cos(-5x))
taylor x^2e^{3x},-2	taylor\:x^{2}e^{3x},-2
integral of (x+6)/(x^2+25)	\int\:\frac{x+6}{x^{2}+25}dx
integral of (x^2)/(sqrt(4x-x^2))	\int\:\frac{x^{2}}{\sqrt{4x-x^{2}}}dx
derivative of (1-x^{2/3}^{3/2})	\frac{d}{dx}((1-x^{\frac{2}{3}})^{\frac{3}{2}})
derivative of 8cos(t)	derivative\:8\cos(t)
tangent of y=2sqrt(x)	tangent\:y=2\sqrt{x}
integral of e^xe^{3x}	\int\:e^{x}e^{3x}dx
tangent of 5xsqrt(4-5x),\at x=-2	tangent\:5x\sqrt{4-5x},\at\:x=-2
5x^2(dy)/(dx)=(dy)/(dx)+9xe^{-y}	5x^{2}\frac{dy}{dx}=\frac{dy}{dx}+9xe^{-y}
derivative of 4sec^2(4x)	\frac{d}{dx}(4\sec^{2}(4x))
derivative of 5e^t	derivative\:5e^{t}
tangent of f(x)= 7/x ,\at x=3	tangent\:f(x)=\frac{7}{x},\at\:x=3
derivative of f(x)=(x-2)^3(x+1)^2	derivative\:f(x)=(x-2)^{3}(x+1)^{2}
derivative of e^xcos(5x)	\frac{d}{dx}(e^{x}\cos(5x))
derivative of Axe^{2x}	\frac{d}{dx}(Axe^{2x})
area y^2=x,\sqrt[6]{y}=x	area\:y^{2}=x,\sqrt[6]{y}=x
tangent of f(x)=sqrt(x+1),(8,3)	tangent\:f(x)=\sqrt{x+1},(8,3)
integral of (sqrt(4x^2-64))/x	\int\:\frac{\sqrt{4x^{2}-64}}{x}dx
area y=\|x-3\|,y= x/2 ,x=0	area\:y=\left\|x-3\right\|,y=\frac{x}{2},x=0
derivative of ln((e^{7x}/(1+e^{7x)}))	\frac{d}{dx}(\ln(\frac{e^{7x}}{1+e^{7x}}))
derivative of 3tan^2(2x)	derivative\:3\tan^{2}(2x)
integral from 1 to 2 of 3/(x^3+4x)	\int\:_{1}^{2}\frac{3}{x^{3}+4x}dx
(\partial)/(\partial x)(x^{1/3})	\frac{\partial\:}{\partial\:x}(x^{\frac{1}{3}})
sum from n=1 to infinity}(-1)^{n+1 of n	\sum\:_{n=1}^{\infty\:}(-1)^{n+1}n
derivative of sqrt(\sqrt{x+1)+1}	\frac{d}{dx}(\sqrt{\sqrt{x+1}+1})
tangent of f(x)=(5x)/(x^2+1),\at x=0	tangent\:f(x)=\frac{5x}{x^{2}+1},\at\:x=0
(dy)/(dθ)=sin^4(piθ)	\frac{dy}{dθ}=\sin^{4}(πθ)

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