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Popular Calculus Problems

inverse oflaplace ((s-1))/(2s^2+8s+11)	inverselaplace\:\frac{(s-1)}{2s^{2}+8s+11}
integral of (e^{x-5}-e^{3+x})/(e^{1-x)}	\int\:\frac{e^{x-5}-e^{3+x}}{e^{1-x}}dx
derivative of f(x)=(1+8x^2)(x-x^2)	derivative\:f(x)=(1+8x^{2})(x-x^{2})
derivative of e^{x-8}	\frac{d}{dx}(e^{x-8})
derivative of a^x+x^n	\frac{d}{dx}(a^{x}+x^{n})
(\partial)/(\partial x)(6xe^{sqrt(xy)})	\frac{\partial\:}{\partial\:x}(6xe^{\sqrt{xy}})
(\partial)/(\partial x)(15sqrt(x^2+y^2))	\frac{\partial\:}{\partial\:x}(15\sqrt{x^{2}+y^{2}})
integral of 2sqrt(y)(-y+2)	\int\:2\sqrt{y}(-y+2)dy
integral of \sqrt[3]{1-3x}	\int\:\sqrt[3]{1-3x}dx
derivative of ln(x+1-x+1)	\frac{d}{dx}(\ln(x+1)-x+1)
limit as x approaches 5 of 4x^2-8	\lim\:_{x\to\:5}(4x^{2}-8)
derivative of xsqrt(x+9)	\frac{d}{dx}(x\sqrt{x+9})
laplacetransform 9/4 t^2e^{5t}	laplacetransform\:\frac{9}{4}t^{2}e^{5t}
integral of (4x-1)/(x^2+x-2)	\int\:\frac{4x-1}{x^{2}+x-2}dx
limit as x approaches c of (8)^{2/3}	\lim\:_{x\to\:c}((8)^{\frac{2}{3}})
limit as x approaches 1-of 7\|x+1\|-4	\lim\:_{x\to\:1-}(7\left\|x+1\right\|-4)
integral of 4/3 x^2	\int\:\frac{4}{3}x^{2}dx
derivative of arcsin(x-2)	derivative\:\arcsin(x-2)
(\partial)/(\partial t)(t+3e^s)	\frac{\partial\:}{\partial\:t}(t+3e^{s})
y^{''}+y^'=9	y^{\prime\:\prime\:}+y^{\prime\:}=9
(\partial)/(\partial x)(x^5v^2+2y^3u-3)	\frac{\partial\:}{\partial\:x}(x^{5}v^{2}+2y^{3}u-3)
integral of y^{1/3}	\int\:y^{\frac{1}{3}}dy
integral of x^2sqrt(1+x^3)	\int\:x^{2}\sqrt{1+x^{3}}dx
integral of 5+cos(x)	\int\:5+\cos(x)dx
32y^{''}+20y^'-3y=0	32y^{\prime\:\prime\:}+20y^{\prime\:}-3y=0
integral of 5e^u	\int\:5e^{u}du
derivative of pix^2	derivative\:πx^{2}
integral of-3/((x^2+3)^{3/2)}	\int\:-\frac{3}{(x^{2}+3)^{\frac{3}{2}}}dx
integral of (6x+7)	\int\:(6x+7)dx
derivative of f(x)=x^{0.5}	derivative\:f(x)=x^{0.5}
derivative of 2.873*sec(x)	\frac{d}{dx}(2.873\cdot\:\sec(x))
integral of (2x+2)/(sqrt(2x^2+4x+5))	\int\:\frac{2x+2}{\sqrt{2x^{2}+4x+5}}dx
integral of sqrt(25-x^2)	\int\:\sqrt{25-x^{2}}dx
derivative of \sqrt[3]{x-6}	\frac{d}{dx}(\sqrt[3]{x-6})
integral of 4arctan(sqrt(x))	\int\:4\arctan(\sqrt{x})dx
derivative of ((x^2+2/(x^2-2))^4)	\frac{d}{dx}((\frac{x^{2}+2}{x^{2}-2})^{4})
integral of (sec(x))^5	\int\:(\sec(x))^{5}dx
integral of (1/(x^5)-x^5-1/7)	\int\:(\frac{1}{x^{5}}-x^{5}-\frac{1}{7})dx
derivative of 1/2 (e^x-cos(x))	\frac{d}{dx}(\frac{1}{2}(e^{x}-\cos(x)))
(\partial)/(\partial x)(y/x+x-y^2)	\frac{\partial\:}{\partial\:x}(\frac{y}{x}+x-y^{2})
integral of 7xe^x	\int\:7xe^{x}dx
area y=x,y=sqrt(x)	area\:y=x,y=\sqrt{x}
derivative of 4cos(x^2)	derivative\:4\cos(x^{2})
limit as x approaches 3 of 1/(x^2-9)	\lim\:_{x\to\:3}(\frac{1}{x^{2}-9})
limit as t approaches pi of tan(t/6)	\lim\:_{t\to\:π}(\tan(\frac{t}{6}))
integral from 1 to 5 of (x^2+1)/(6x-x^2)	\int\:_{1}^{5}\frac{x^{2}+1}{6x-x^{2}}dx
derivative of 6x^2-8+40cos(pix)	\frac{d}{dx}(6x^{2}-8+40\cos(π)x)
integral of (x^3)/(sqrt(1+x^2))	\int\:\frac{x^{3}}{\sqrt{1+x^{2}}}dx
derivative of (2x+1/x)	\frac{d}{dx}(\frac{2x+1}{x})
derivative of f(x)=((x+1))/(x-1)	derivative\:f(x)=\frac{(x+1)}{x-1}
(\partial)/(\partial y)(x+1)	\frac{\partial\:}{\partial\:y}(x+1)
derivative of e^{{g}(x}cos(x))	\frac{d}{dx}(e^{{g}(x)}\cos(x))
f(x)=-2xsin(x^2)	f(x)=-2x\sin(x^{2})
limit as x approaches-infinity of-2x^3	\lim\:_{x\to\:-\infty\:}(-2x^{3})
x^2y^{''}+17xy^'+145y=0	x^{2}y^{\prime\:\prime\:}+17xy^{\prime\:}+145y=0
integral of (x^3)/(\sqrt[5]{x^2+5)}	\int\:\frac{x^{3}}{\sqrt[5]{x^{2}+5}}dx
derivative of-3cos(x)	derivative\:-3\cos(x)
integral of (3x-2)/(x^2-6x+10)	\int\:\frac{3x-2}{x^{2}-6x+10}dx
derivative of 10^{xln(x-x})	\frac{d}{dx}(10^{x\ln(x)-x})
integral of 2e^xsin(x)	\int\:2e^{x}\sin(x)dx
limit as x approaches 0 of (-3x+1)^{5/x}	\lim\:_{x\to\:0}((-3x+1)^{\frac{5}{x}})
integral of (x+2)^{13}	\int\:(x+2)^{13}dx
derivative of f(x)=sqrt(x^2-3x)	derivative\:f(x)=\sqrt{x^{2}-3x}
derivative of (x-7xsqrt(x)/(sqrt(x)))	\frac{d}{dx}(\frac{x-7x\sqrt{x}}{\sqrt{x}})
derivative of f(x)=5x^2cos(x)+x	derivative\:f(x)=5x^{2}\cos(x)+x
f(x)=e^x+xe^x	f(x)=e^{x}+xe^{x}
integral of x^3inx	\int\:x^{3}inxdx
(\partial)/(\partial {Q)}({Q}^2)	\frac{\partial\:}{\partial\:{Q}}({Q}^{2})
derivative of sin(x^2+cos(x^2))	\frac{d}{dx}(\sin(x^{2})+\cos(x^{2}))
integral of 1/(4x+5)	\int\:\frac{1}{4x+5}dx
integral of 1 sqrt(tan(x))	\int\:\frac{d}{1}\sqrt{\tan(x)}dx
integral from 1 to 4 of (x-2)^2	\int\:_{1}^{4}(x-2)^{2}dx
integral of cos(3x)	\int\:\cos(3x)dx
laplacetransform (x+1)^2	laplacetransform\:(x+1)^{2}
integral of (-x^2cos(x))/4	\int\:\frac{-x^{2}\cos(x)}{4}dx
(\partial)/(\partial x)(ln(x^3+y^2)-z)	\frac{\partial\:}{\partial\:x}(\ln(x^{3}+y^{2})-z)
derivative of y=x^{8x}	derivative\:y=x^{8x}
derivative of 4\sqrt[3]{x+8}	\frac{d}{dx}(4\sqrt[3]{x+8})
(\partial)/(\partial x)(e^{sin(x+y)})	\frac{\partial\:}{\partial\:x}(e^{\sin(x+y)})
derivative of f(x)=((x+1))/((x-1))	derivative\:f(x)=\frac{(x+1)}{(x-1)}
derivative of f(r)=sqrt(r)+\sqrt[9]{r}	derivative\:f(r)=\sqrt{r}+\sqrt[9]{r}
integral of 17cot^4(x)	\int\:17\cot^{4}(x)dx
d/(dt)(e^{-2t}cos(3t)+e^{-2t}sin(3t))	\frac{d}{dt}(e^{-2t}\cos(3t)+e^{-2t}\sin(3t))
derivative of-2x^5-3x^3+1	\frac{d}{dx}(-2x^{5}-3x^{3}+1)
limit as x approaches 2-of sqrt(\|x\|-x)	\lim\:_{x\to\:2-}(\sqrt{\left\|x\right\|-x})
y^{''}+(2y^')/x-(6y)/(x^2)=0	y^{\prime\:\prime\:}+\frac{2y^{\prime\:}}{x}-\frac{6y}{x^{2}}=0
limit as x approaches 1 of 1-cos(pi)x	\lim\:_{x\to\:1}(1-\cos(π)x)
integral of 4sin^4(x)	\int\:4\sin^{4}(x)dx
integral from 1 to 4 of sqrt(x)	\int\:_{1}^{4}\sqrt{x}dx
integral from 0 to (3pi)/2 of \|sin(x)\|	\int\:_{0}^{\frac{3π}{2}}\left\|\sin(x)\right\|dx
integral of ((ln(z))^2)/z	\int\:\frac{(\ln(z))^{2}}{z}dz
integral of sec(5x-3)tan(5x-3)	\int\:\sec(5x-3)\tan(5x-3)dx
limit as x approaches 7 of \sqrt[3]{x-7}	\lim\:_{x\to\:7}(\sqrt[3]{x-7})
tangent of f(x)=x^3(8x^2+2x-3)^2	tangent\:f(x)=x^{3}(8x^{2}+2x-3)^{2}
integral of \sqrt[13]{x^8}	\int\:\sqrt[13]{x^{8}}dx
derivative of cos(-4x)	\frac{d}{dx}(\cos(-4x))
limit as x approaches infinity of x/(10)	\lim\:_{x\to\:\infty\:}(\frac{x}{10})
limit as x approaches-5 of-8	\lim\:_{x\to\:-5}(-8)
derivative of (x^2)/(1+4x)	derivative\:\frac{x^{2}}{1+4x}
derivative of x^2cos(4x+3)	\frac{d}{dx}(x^{2}\cos(4x+3))

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