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Popular Calculus Problems

derivative of arcsin(x^5)	derivative\:\arcsin(x^{5})
derivative of (37500)/(1+19e^{-0.6x)}	derivative\:\frac{37500}{1+19e^{-0.6x}}
limit as x approaches 0+of e^{xln(x)}	\lim\:_{x\to\:0+}(e^{x\ln(x)})
integral of (x^2+1/(sqrt(x)))^2	\int\:(x^{2}+\frac{1}{\sqrt{x}})^{2}dx
derivative of-384e^{-4x}	derivative\:-384e^{-4x}
integral of (3x^2-10x-8)/(x-3)	\int\:\frac{3x^{2}-10x-8}{x-3}dx
(dy)/(dx)=-x/y	\frac{dy}{dx}=-\frac{x}{y}
integral of 5tan^3(2x)sec^5(2x)	\int\:5\tan^{3}(2x)\sec^{5}(2x)dx
simplify f(g(x))	simplify\:f(g(x))
area y=e^x,y=e^{3x},x=0,x=ln(3)	area\:y=e^{x},y=e^{3x},x=0,x=\ln(3)
limit as x approaches 3 of ln(3-x)	\lim\:_{x\to\:3}(\ln(3-x))
derivative of e^{11x}	derivative\:e^{11x}
integral of 2e^x	\int\:2e^{x}dx
inverse oflaplace 1/3	inverselaplace\:\frac{1}{3}
integral of (3x+11)/(x^2-2x-3)	\int\:\frac{3x+11}{x^{2}-2x-3}dx
integral of (x^3-1)/(x^2-4)	\int\:\frac{x^{3}-1}{x^{2}-4}dx
integral of 14sin^2(xco)s^2x	\int\:14\sin^{2}(xco)s^{2}xdx
slope of (64,56),(28,33)	slope\:(64,56),(28,33)
limit as x approaches 0-of 1/(x^2+6x)	\lim\:_{x\to\:0-}(\frac{1}{x^{2}+6x})
derivative of y=e^{sqrt(x)}(x^2-4)	derivative\:y=e^{\sqrt{x}}(x^{2}-4)
integral of ysqrt(10+8y-16y^2)	\int\:y\sqrt{10+8y-16y^{2}}dy
derivative of sin(x+5)	\frac{d}{dx}(\sin(x)+5)
slope of (3,4),(6,8)	slope\:(3,4),(6,8)
integral from 0 to 1 of (x^2-x^4)	\int\:_{0}^{1}(x^{2}-x^{4})dx
derivative of (3x/(4x^2+9))	\frac{d}{dx}(\frac{3x}{4x^{2}+9})
area x^2-17,16x	area\:x^{2}-17,16x
y^'=12-y/(30)	y^{\prime\:}=12-\frac{y}{30}
derivative of (2x/(sin(x)))	\frac{d}{dx}(\frac{2x}{\sin(x)})
derivative of (b(-12b-290))/(8-b)	derivative\:\frac{b(-12b-290)}{8-b}
integral of cos((npix)/3)	\int\:\cos(\frac{nπx}{3})dx
(x^2+1)dx+(dy)/y =0,y(-1)=1	(x^{2}+1)dx+\frac{dy}{y}=0,y(-1)=1
derivative of ((3+2x))/((1+x))	derivative\:\frac{(3+2x)}{(1+x)}
integral of cos^2(θ)sin(θ)	\int\:\cos^{2}(θ)\sin(θ)dθ
integral of xe^{(x^2)}	\int\:xe^{(x^{2})}dx
integral from-1 to 1 of (2x)/((x+5)^2)	\int\:_{-1}^{1}\frac{2x}{(x+5)^{2}}dx
limit as x approaches 0-of 0	\lim\:_{x\to\:0-}(0)
laplacetransform 3t^5	laplacetransform\:3t^{5}
integral of (((x+1)(x-2))/(sqrt(x)))	\int\:(\frac{(x+1)(x-2)}{\sqrt{x}})dx
integral from 1 to 2 of 4^{-θ}	\int\:_{1}^{2}4^{-θ}dθ
derivative of f(x)=2(2)^4-16(2)^3+8	derivative\:f(x)=2(2)^{4}-16(2)^{3}+8
y^'=-y+sin(x)+cos(x)	y^{\prime\:}=-y+\sin(x)+\cos(x)
extreme f(x)=3x+2z+4xz	extreme\:f(x)=3x+2z+4xz
integral from 1 to 7 of (ln(x))/x	\int\:_{1}^{7}\frac{\ln(x)}{x}dx
limit as x approaches 1 of 3x^2	\lim\:_{x\to\:1}(3x^{2})
(\partial)/(\partial x)(y^{5x})	\frac{\partial\:}{\partial\:x}(y^{5x})
derivative of 4-e^x	\frac{d}{dx}(4-e^{x})
derivative of ((4x^2+2x+2)/(sqrt(x)))	\frac{d}{dx}(\frac{(4x^{2}+2x+2)}{\sqrt{x}})
y^{''}+6y^'=162e^{3t},y(0)=6,y^'(0)=7	y^{\prime\:\prime\:}+6y^{\prime\:}=162e^{3t},y(0)=6,y^{\prime\:}(0)=7
limit as t approaches infinity of (0.2t)/(t^2+1)	\lim\:_{t\to\:\infty\:}(\frac{0.2t}{t^{2}+1})
derivative of 2(-2e^{-x^2}x^2+e^{-x^2})	\frac{d}{dx}(2(-2e^{-x^{2}}x^{2}+e^{-x^{2}}))
limit as x approaches 5 of 2x^3-3x^2-x-4	\lim\:_{x\to\:5}(2x^{3}-3x^{2}-x-4)
ty^'+y=t	ty^{\prime\:}+y=t
derivative of f(x)=(6x^5)/5-x+3e^x	derivative\:f(x)=\frac{6x^{5}}{5}-x+3e^{x}
tangent of sqrt(x),\at 36	tangent\:\sqrt{x},\at\:36
derivative of arcsec(5ln(2x))	derivative\:\arcsec(5\ln(2x))
implicit (dx)/(dy),y^2=x	implicit\:\frac{dx}{dy},y^{2}=x
integral of 1/(64+(x-1)^2)	\int\:\frac{1}{64+(x-1)^{2}}dx
(dy)/(dx)=50y-1/10 y^2	\frac{dy}{dx}=50y-\frac{1}{10}y^{2}
derivative of sqrt(x^2+1)	derivative\:\sqrt{x^{2}+1}
integral of (1/(5x^{3.3)})	\int\:(\frac{1}{5x^{3.3}})dx
integral of (12)/((36x^2+1)^2)	\int\:\frac{12}{(36x^{2}+1)^{2}}dx
derivative of ln(3x^2)	derivative\:\ln(3x^{2})
tangent of h(x)=3e^x-7x,(0,3)	tangent\:h(x)=3e^{x}-7x,(0,3)
derivative of e^{sqrt(tan(3x)})	\frac{d}{dx}(e^{\sqrt{\tan(3x)}})
slope ofintercept (9,2),(-2,6)	slopeintercept\:(9,2),(-2,6)
derivative of 2/x-1	\frac{d}{dx}(\frac{2}{x}-1)
derivative of ((x^2))/(5+x)	derivative\:\frac{(x^{2})}{5+x}
(dy)/(dx)+y/x =2x^2y^2	\frac{dy}{dx}+\frac{y}{x}=2x^{2}y^{2}
(dy)/(dx)+y=xy^4	\frac{dy}{dx}+y=xy^{4}
integral from 0 to 2pi of sin^2(θ)	\int\:_{0}^{2π}\sin^{2}(θ)dθ
tangent of f(x)=2x^2-5x	tangent\:f(x)=2x^{2}-5x
derivative of-4sin(x+9x)	\frac{d}{dx}(-4\sin(x)+9x)
limit as x approaches 0 of (-3)/x	\lim\:_{x\to\:0}(\frac{-3}{x})
integral from 1 to infinity of 1/(x^{1.001)}	\int\:_{1}^{\infty\:}\frac{1}{x^{1.001}}dx
limit as x approaches 4+of (\|x-4\|)/(x-4)	\lim\:_{x\to\:4+}(\frac{\left\|x-4\right\|}{x-4})
derivative of (ax+b^5)	\frac{d}{dx}((ax+b)^{5})
derivative of y= 3/(ln(x))	derivative\:y=\frac{3}{\ln(x)}
3(d^2y)/(dx^2)+18(dy)/(dx)+24y=6sin(2x)	3\frac{d^{2}y}{dx^{2}}+18\frac{dy}{dx}+24y=6\sin(2x)
integral of 12e^{6x}	\int\:12e^{6x}dx
taylor 1/(3+2x)	taylor\:\frac{1}{3+2x}
integral of (x^4+x^2)^8(4x^3+2x)	\int\:(x^{4}+x^{2})^{8}(4x^{3}+2x)dx
y^{''}+4y=sin(2x)cos(2x)	y^{\prime\:\prime\:}+4y=\sin(2x)\cos(2x)
derivative of 21pix^2	\frac{d}{dx}(21\cdot\:π\cdot\:x^{2})
derivative of y=ln(3x^2+7y^2)	derivative\:y=\ln(3x^{2}+7y^{2})
integral of csc(z+pi/4)cot(z+pi/4)	\int\:\csc(z+\frac{π}{4})\cot(z+\frac{π}{4})dz
derivative of 0.02x^3-0.07x^2+8x	\frac{d}{dx}(0.02x^{3}-0.07x^{2}+8x)
derivative of cos^4(2x)	\frac{d}{dx}(\cos^{4}(2x))
integral of x/(sqrt(x^2-6))	\int\:\frac{x}{\sqrt{x^{2}-6}}dx
derivative of (4-3x-x^2/(x^2-1))	\frac{d}{dx}(\frac{4-3x-x^{2}}{x^{2}-1})
derivative of (e^{2x}/(2x))	\frac{d}{dx}(\frac{e^{2x}}{2x})
(dh)/(dt)=5sqrt(h)	\frac{dh}{dt}=5\sqrt{h}
sqrt(1+x^2)dy-sqrt(1-y^2)dx=0	\sqrt{1+x^{2}}dy-\sqrt{1-y^{2}}dx=0
derivative of e^{\sqrt[5]{x}}	\frac{d}{dx}(e^{\sqrt[5]{x}})
integral of (13sqrt(x)+sqrt(3))	\int\:(13\sqrt{x}+\sqrt{3})dx
derivative of x^a	derivative\:x^{a}
d/(dt)(tan(sqrt(5t)))	\frac{d}{dt}(\tan(\sqrt{5t}))
tangent of y=-6x^2+4	tangent\:y=-6x^{2}+4
limit as x approaches 0+of ln(x)sqrt(x)	\lim\:_{x\to\:0+}(\ln(x)\sqrt{x})
derivative of y=(1-y)/(x-1)	derivative\:y=\frac{1-y}{x-1}
limit as x approaches+7 of 2cos(x)	\lim\:_{x\to\:+7}(2\cos(x))

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