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Popular Calculus Problems

derivative of (2x-8^5)	\frac{d}{dx}((2x-8)^{5})
laplacetransform f(t)=t^2e^{3t}	laplacetransform\:f(t)=t^{2}e^{3t}
derivative of (x^2^{1/2})	\frac{d}{dx}((x^{2})^{\frac{1}{2}})
derivative of (2x+3/(x+2))	\frac{d}{dx}(\frac{2x+3}{x+2})
derivative of x^3+x^2+x+1	\frac{d}{dx}(x^{3}+x^{2}+x+1)
integral of 1/((1+cos(x))^2)	\int\:\frac{1}{(1+\cos(x))^{2}}dx
integral of 1/(t+2)	\int\:\frac{1}{t+2}dt
integral from-1 to 2 of x^2e^{x^3+1}	\int\:_{-1}^{2}x^{2}e^{x^{3}+1}dx
f(x)=ln(sec(x))	f(x)=\ln(\sec(x))
integral from 1 to x of t^4	\int\:_{1}^{x}t^{4}dt
derivative of f(x)=(x^2-2)^2	derivative\:f(x)=(x^{2}-2)^{2}
derivative of ln(3x^2+2x)	\frac{d}{dx}(\ln(3x^{2}+2x))
limit as x approaches 0+of csc(x)-cot(x)	\lim\:_{x\to\:0+}(\csc(x)-\cot(x))
sum from n=5 to infinity of 6/(n^2-1)	\sum\:_{n=5}^{\infty\:}\frac{6}{n^{2}-1}
maclaurin 5^x	maclaurin\:5^{x}
slope of (-4,-4),(-3,0)	slope\:(-4,-4),(-3,0)
(\partial)/(\partial x)(18x^2y+12xy^2)	\frac{\partial\:}{\partial\:x}(18x^{2}y+12xy^{2})
derivative of arcsin((sqrt(x^2-1))/x)	derivative\:\arcsin(\frac{\sqrt{x^{2}-1}}{x})
limit as x approaches 3 of sqrt(3x+9)	\lim\:_{x\to\:3}(\sqrt{3x+9})
derivative of 2xe^y	\frac{d}{dx}(2xe^{y})
integral of-4	\int\:-4dx
(\partial)/(\partial y)(3x-4y)	\frac{\partial\:}{\partial\:y}(3x-4y)
integral of e^xcos(nx)	\int\:e^{x}\cos(nx)dx
integral of 7sin^2(xco)s^3x	\int\:7\sin^{2}(xco)s^{3}xdx
integral from-3 to 3 of (12)/(x^2-2x-35)	\int\:_{-3}^{3}\frac{12}{x^{2}-2x-35}dx
slope of (-3-9)(-33)	slope\:(-3-9)(-33)
(\partial)/(\partial x)(4x^2y+4xy^2)	\frac{\partial\:}{\partial\:x}(4x^{2}y+4xy^{2})
integral of (x^3)/((4-x^4)^6)	\int\:\frac{x^{3}}{(4-x^{4})^{6}}dx
(\partial)/(\partial x)((sin(x))/(sqrt(x)))	\frac{\partial\:}{\partial\:x}(\frac{\sin(x)}{\sqrt{x}})
integral of pcos((pix)/(2l))	\int\:p\cos(\frac{πx}{2l})dx
limit as x approaches 1-of 3/(\|x-1\|)	\lim\:_{x\to\:1-}(\frac{3}{\left\|x-1\right\|})
(\partial)/(\partial x)(sqrt(3)x^{1/2})	\frac{\partial\:}{\partial\:x}(\sqrt{3}x^{\frac{1}{2}})
integral of 1/((9+x^2)^3)	\int\:\frac{1}{(9+x^{2})^{3}}dx
integral of e/x	\int\:\frac{e}{x}dx
area y=5-x^2,y=x^2+3	area\:y=5-x^{2},y=x^{2}+3
integral of (cos(x))/((1+sin(x)))	\int\:\frac{\cos(x)}{(1+\sin(x))}dx
derivative of f(x)=2x^3-3x^2-36x+5	derivative\:f(x)=2x^{3}-3x^{2}-36x+5
laplacetransform f(x)=cos(ax)	laplacetransform\:f(x)=\cos(ax)
limit as x approaches infinity+of ln(x)	\lim\:_{x\to\:\infty\:+}(\ln(x))
integral of pisin(pix)	\int\:π\sin(πx)dx
integral of 1/(sqrt(2-5x))	\int\:\frac{1}{\sqrt{2-5x}}dx
laplacetransform e^{6t}	laplacetransform\:e^{6t}
tangent of f(x)= 1/(x-2),(-2,-1/4)	tangent\:f(x)=\frac{1}{x-2},(-2,-\frac{1}{4})
derivative of 10sec(x)	\frac{d}{dx}(10\sec(x))
derivative of 4/(sqrt(x)+2/x+x/2)	\frac{d}{dx}(\frac{4}{\sqrt{x}}+\frac{2}{x}+\frac{x}{2})
integral of ((sqrt(x)-1)(sqrt(x)+1))/x	\int\:\frac{(\sqrt{x}-1)(\sqrt{x}+1)}{x}dx
limit as x approaches pi of 15	\lim\:_{x\to\:π}(15)
limit as x approaches 3 of 5x^3-2x^2+x-7	\lim\:_{x\to\:3}(5x^{3}-2x^{2}+x-7)
integral of 2x^2\sqrt[3]{3x^3+4}	\int\:2x^{2}\sqrt[3]{3x^{3}+4}dx
derivative of-0.6t^3+7.2t^2+61	derivative\:-0.6t^{3}+7.2t^{2}+61
derivative of (3x-5ye^{2y-4x})	\frac{d}{dx}((3x-5y)e^{2y-4x})
integral of-3sin^2(x)	\int\:-3\sin^{2}(x)dx
derivative of y=x^{-5cos(x)}	derivative\:y=x^{-5\cos(x)}
derivative of xln(x)-x	derivative\:x\ln(x)-x
integral of (x+4)/(x^2+6x-16)	\int\:\frac{x+4}{x^{2}+6x-16}dx
derivative of ((x^2+1^2)/(2x))	\frac{d}{dx}(\frac{(x^{2}+1)^{2}}{2x})
tangent of y=cos(x),\at x=-pi/2	tangent\:y=\cos(x),\at\:x=-\frac{π}{2}
limit as x approaches 0 of e^x-2x^2	\lim\:_{x\to\:0}(e^{x}-2x^{2})
(\partial)/(\partial x)(sqrt(4x^2+3y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{4x^{2}+3y^{2}})
derivative of log_{3}(\sqrt[5]{x+2})	\frac{d}{dx}(\log_{3}(\sqrt[5]{x+2}))
y^2*((dy)/(dx))+y^3=1	y^{2}\cdot\:(\frac{dy}{dx})+y^{3}=1
integral of (x^3+1)/(x^2+5x+6)	\int\:\frac{x^{3}+1}{x^{2}+5x+6}dx
derivative of 1/(2x^2+4)	\frac{d}{dx}(\frac{1}{2x^{2}+4})
derivative of 750+12x-0.08x^7	\frac{d}{dx}(750+12x-0.08x^{7})
derivative of x^4+8x+6	derivative\:x^{4}+8x+6
derivative of (3-x^2(x^3-x+1))	\frac{d}{dx}((3-x^{2})(x^{3}-x+1))
derivative of (x^2/(2x))	\frac{d}{dx}(\frac{x^{2}}{2x})
integral of (x^4+x^3+x^2+1)/(x^2+x-2)	\int\:\frac{x^{4}+x^{3}+x^{2}+1}{x^{2}+x-2}dx
derivative of (4x/(5x^2+3))	\frac{d}{dx}(\frac{4x}{5x^{2}+3})
integral of 8/(36x^2+4)	\int\:\frac{8}{36x^{2}+4}dx
derivative of e^{-x}cos(x/2)	\frac{d}{dx}(e^{-x}\cos(\frac{x}{2}))
(\partial)/(\partial v)(3usin(v))	\frac{\partial\:}{\partial\:v}(3u\sin(v))
(dy)/(dx)+y^3x+6y=0	\frac{dy}{dx}+y^{3}x+6y=0
limit as x approaches 0 of cos(2x)	\lim\:_{x\to\:0}(\cos(2x))
integral from y to x of cos(t^3)	\int\:_{y}^{x}\cos(t^{3})dt
derivative of 4-2sin(x)	\frac{d}{dx}(4-2\sin(x))
integral of 1-1/(x+1)	\int\:1-\frac{1}{x+1}dx
integral of (3x)/(x^2-4)	\int\:\frac{3x}{x^{2}-4}dx
integral of (x-1/x)^2	\int\:(x-\frac{1}{x})^{2}dx
y^'=(x-5)e^{-2y}	y^{\prime\:}=(x-5)e^{-2y}
integral from 1 to 2 of (v^4+5v^7)/(v^3)	\int\:_{1}^{2}\frac{v^{4}+5v^{7}}{v^{3}}dv
laplacetransform-t^2\delta(t-2)	laplacetransform\:-t^{2}\delta(t-2)
integral of x^5sqrt(x^3+1)	\int\:x^{5}\sqrt{x^{3}+1}dx
integral of (4x^2+3x)cos(x)	\int\:(4x^{2}+3x)\cos(x)dx
derivative of xe^{3x^2+1}	\frac{d}{dx}(xe^{3x^{2}+1})
integral of (y^2-1/(y^2))^3	\int\:(y^{2}-\frac{1}{y^{2}})^{3}dy
integral of cos(at)	\int\:\cos(at)dt
integral from 0 to 1 of ye^y	\int\:_{0}^{1}ye^{y}dy
limit as x approaches 0 of ((x+3)^2-9)/x	\lim\:_{x\to\:0}(\frac{(x+3)^{2}-9}{x})
derivative of x(10-2x)(16-2x)	derivative\:x(10-2x)(16-2x)
y^'+2y=e^x	y^{\prime\:}+2y=e^{x}
(\partial)/(\partial x)(z^3)	\frac{\partial\:}{\partial\:x}(z^{3})
(\partial)/(\partial s)(st-3)	\frac{\partial\:}{\partial\:s}(st-3)
(\partial)/(\partial x)(x^2+2y^2-1)	\frac{\partial\:}{\partial\:x}(x^{2}+2y^{2}-1)
integral of (x^2)/(sqrt(2-x^2))	\int\:\frac{x^{2}}{\sqrt{2-x^{2}}}dx
(\partial)/(\partial y)(xe^{3y})	\frac{\partial\:}{\partial\:y}(xe^{3y})
(\partial)/(\partial x)((4x-3y)/(4x+3y))	\frac{\partial\:}{\partial\:x}(\frac{4x-3y}{4x+3y})
derivative of f(x)=-16t^2-8t+64	derivative\:f(x)=-16t^{2}-8t+64
tangent of (x^2-3)(x^3-2x)	tangent\:(x^{2}-3)(x^{3}-2x)
integral from 0 to pi/4 of (cos(2x))	\int\:_{0}^{\frac{π}{4}}(\cos(2x))dx

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