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Popular Calculus Problems

integral from 0 to pi/2 of 28x^2sin(x)	\int\:_{0}^{\frac{π}{2}}28x^{2}\sin(x)dx
derivative of sqrt(1-x^3)	\frac{d}{dx}(\sqrt{1-x^{3}})
derivative of f(x)=(2x-5)^3	derivative\:f(x)=(2x-5)^{3}
slope ofintercept (-3.5)(6.2)	slopeintercept\:(-3.5)(6.2)
limit as x approaches 2 of 4x^2-2x-6	\lim\:_{x\to\:2}(4x^{2}-2x-6)
integral of x/(x^2-4)+x/((x^2-4)^3)	\int\:\frac{x}{x^{2}-4}+\frac{x}{(x^{2}-4)^{3}}dx
integral of 6sin(2x)-3cos(3x)	\int\:6\sin(2x)-3\cos(3x)dx
limit as x approaches 1 of (x+2)^4(4x^2)	\lim\:_{x\to\:1}((x+2)^{4}(4x^{2}))
derivative of (3csc(x)/(4^x))	\frac{d}{dx}(\frac{3\csc(x)}{4^{x}})
integral of 5/2 x	\int\:\frac{5}{2}xdx
(\partial)/(\partial x)(sec(17x))	\frac{\partial\:}{\partial\:x}(\sec(17x))
(\partial)/(\partial x)(25-(x^2+3y^2))	\frac{\partial\:}{\partial\:x}(25-(x^{2}+3y^{2}))
integral of 2y+z	\int\:2y+zdx
(d^2y)/(dx^2)+4(dy)/(dx)+5y=2sin(x)	\frac{d^{2}y}{dx^{2}}+4\frac{dy}{dx}+5y=2\sin(x)
(\partial)/(\partial x)(2sqrt(xyz))	\frac{\partial\:}{\partial\:x}(2\sqrt{xyz})
derivative of y=(3sqrt(x))/x	derivative\:y=\frac{3\sqrt{x}}{x}
integral of (ln^6(x))/x	\int\:\frac{\ln^{6}(x)}{x}dx
limit as x approaches 0 of (3sin(x)+x)/x	\lim\:_{x\to\:0}(\frac{3\sin(x)+x}{x})
integral of 1/(3sqrt(x)(5+\sqrt{x))}	\int\:\frac{1}{3\sqrt{x}(5+\sqrt{x})}dx
normal of y=x^4+7e^x,(0,7)	normal\:y=x^{4}+7e^{x},(0,7)
limit as x approaches 2-of \H(x)	\lim\:_{x\to\:2-}(\H(x))
derivative of x(2x+9^{1/3})	\frac{d}{dx}(x(2x+9)^{\frac{1}{3}})
integral from 0 to infinity of te^{-kt}	\int\:_{0}^{\infty\:}te^{-kt}dt
integral of x/(x^2+2x+1)	\int\:\frac{x}{x^{2}+2x+1}dx
derivative of 2x^2-4	\frac{d}{dx}(2x^{2}-4)
derivative of ln\|x^2-4\|	\frac{d}{dx}(\ln\left\|x^{2}-4\right\|)
derivative of f(x)=-2x^2-12x-4	derivative\:f(x)=-2x^{2}-12x-4
(tdy)/(dt)=t^3+8t^3y	\frac{tdy}{dt}=t^{3}+8t^{3}y
derivative of ((x+3^2)/(e^x*cos(x)))	\frac{d}{dx}(\frac{(x+3)^{2}}{e^{x}\cdot\:\cos(x)})
derivative of f(x)= 1/5 (9x+8)^3	derivative\:f(x)=\frac{1}{5}(9x+8)^{3}
derivative of-7ln(x)	\frac{d}{dx}(-7\ln(x))
integral of (sin^4(x))	\int\:(\sin^{4}(x))dx
limit as x approaches 1 of 2x^2-4x+7	\lim\:_{x\to\:1}(2x^{2}-4x+7)
inverse oflaplace (10)/(16s^2+5s+1)	inverselaplace\:\frac{10}{16s^{2}+5s+1}
(\partial)/(\partial x)(x^2+4y^2+5z^2)	\frac{\partial\:}{\partial\:x}(x^{2}+4y^{2}+5z^{2})
f(x)= 7/10 x^2+4x^3	f(x)=\frac{7}{10}x^{2}+4x^{3}
(dp)/(p-p^2)=dt	\frac{dp}{p-p^{2}}=dt
derivative of 3x^4+2x^3+x^2-2	\frac{d}{dx}(3x^{4}+2x^{3}+x^{2}-2)
(d^2)/(dx^2)(x^{-2})	\frac{d^{2}}{dx^{2}}(x^{-2})
(dy)/(dx)=-(y(x+y+1))/(x+2y)	\frac{dy}{dx}=-\frac{y(x+y+1)}{x+2y}
integral of 1/(e^x+3)	\int\:\frac{1}{e^{x}+3}dx
derivative of y=sin(x)ln(2x)	derivative\:y=\sin(x)\ln(2x)
derivative of (6arctan(2x)/(5e^{3x)})	\frac{d}{dx}(\frac{6\arctan(2x)}{5e^{3x}})
laplacetransform t^3e^{3t}	laplacetransform\:t^{3}e^{3t}
integral of ln(x/x)	\int\:\ln(\frac{x}{x})dx
derivative of f(x)=ax^4+(a-9)x^2-9	derivative\:f(x)=ax^{4}+(a-9)x^{2}-9
sum from n=1 to infinity of (3n)/(n^2+4)	\sum\:_{n=1}^{\infty\:}\frac{3n}{n^{2}+4}
integral of cos^2(kx)	\int\:\cos^{2}(kx)dx
integral from 2 to 4 of x/(x^2+6x+13)	\int\:_{2}^{4}\frac{x}{x^{2}+6x+13}dx
sum from n=0 to infinity of 1/(n^2)	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{2}}
(\partial)/(\partial x)(e^{6x+9y})	\frac{\partial\:}{\partial\:x}(e^{6x+9y})
area y= 1/2 x,y=1,y= 1/25 x^2	area\:y=\frac{1}{2}x,y=1,y=\frac{1}{25}x^{2}
sum from n=5 to infinity of sin(1/(n^2))	\sum\:_{n=5}^{\infty\:}\sin(\frac{1}{n^{2}})
derivative of 1/2 cos(x)	\frac{d}{dx}(\frac{1}{2}\cos(x))
derivative of xln(4y+sqrt(x+y))	\frac{d}{dx}(x\ln(4y)+\sqrt{x+y})
integral of 6x^{3/2}	\int\:6x^{\frac{3}{2}}dx
limit as x approaches infinity of 4^x+5	\lim\:_{x\to\:\infty\:}(4^{x}+5)
derivative of 3/(x^2+1/x)	\frac{d}{dx}(\frac{3}{x^{2}}+\frac{1}{x})
integral of 1/(sqrt(x^2-2x+10))	\int\:\frac{1}{\sqrt{x^{2}-2x+10}}dx
49y^{''}+28y^'+4y=0	49y^{\prime\:\prime\:}+28y^{\prime\:}+4y=0
16y^{''}-40y^'+25y=0,y(0)=3,y^'(0)=-94	16y^{\prime\:\prime\:}-40y^{\prime\:}+25y=0,y(0)=3,y^{\prime\:}(0)=-94
limit as x approaches 0 of x*sin(pi/x)	\lim\:_{x\to\:0}(x\cdot\:\sin(\frac{π}{x}))
m= 9/(5+h)-9/5	m=\frac{9}{5+h}-\frac{9}{5}
sum from n=1 to infinity}e^{-n of+1	\sum\:_{n=1}^{\infty\:}e^{-n}+1
derivative of 1+1/(4x)	\frac{d}{dx}(1+\frac{1}{4x})
laplacetransform 1/10 e^{4t}+9/10 e^{-6t}	laplacetransform\:\frac{1}{10}e^{4t}+\frac{9}{10}e^{-6t}
derivative of f(x)=2x^2-16x+35	derivative\:f(x)=2x^{2}-16x+35
integral of (-3sqrt(x)+4x)	\int\:(-3\sqrt{x}+4x)dx
dy-(y-7)^2dx=0	dy-(y-7)^{2}dx=0
integral of e^{4x}cos(2x)	\int\:e^{4x}\cos(2x)dx
(\partial)/(\partial y)((sin(mx+ny))^2)	\frac{\partial\:}{\partial\:y}((\sin(mx+ny))^{2})
integral of 2e^{-x^2}	\int\:2e^{-x^{2}}dx
derivative of 1/6 (2x+1^3)	\frac{d}{dx}(\frac{1}{6}(2x+1)^{3})
derivative of (x-sqrt(x)/(x^{1/4)})	\frac{d}{dx}(\frac{x-\sqrt{x}}{x^{\frac{1}{4}}})
limit as x approaches-2 of (5x+7)^4	\lim\:_{x\to\:-2}((5x+7)^{4})
derivative of 2^{x^2-3}	derivative\:2^{x^{2}-3}
integral from-infinity to 20 of re^{r/5}	\int\:_{-\infty\:}^{20}re^{\frac{r}{5}}dr
integral of (sqrt(2x+1))/(x+1)	\int\:\frac{\sqrt{2x+1}}{x+1}dx
integral of-1ln(x^2-1)	\int\:-1\ln(x^{2}-1)dx
y^'=(2x)/(1+2y),y(0)=2	y^{\prime\:}=\frac{2x}{1+2y},y(0)=2
integral of sec(x/5)	\int\:\sec(\frac{x}{5})dx
inverse oflaplace 1/(s(s^2+5s+6))	inverselaplace\:\frac{1}{s(s^{2}+5s+6)}
limit as x approaches 0 of xsin(1/(x^2))	\lim\:_{x\to\:0}(x\sin(\frac{1}{x^{2}}))
derivative of f(x)= x/(sqrt(x-1))	derivative\:f(x)=\frac{x}{\sqrt{x-1}}
f(x)=6^x	f(x)=6^{x}
integral of 1/(x^2sqrt(25+x^2))	\int\:\frac{1}{x^{2}\sqrt{25+x^{2}}}dx
derivative of sin^2(x-sin(x^2))	\frac{d}{dx}(\sin^{2}(x)-\sin(x^{2}))
simplify 5sqrt(t^3)	simplify\:5\sqrt{t^{3}}
slope ofintercept (4,1),(6,7)	slopeintercept\:(4,1),(6,7)
integral of sin^2(x)sin(x)	\int\:\sin^{2}(x)\sin(x)dx
integral from 1 to 10 of 1/((x-2)^{1/3)}	\int\:_{1}^{10}\frac{1}{(x-2)^{\frac{1}{3}}}dx
(\partial)/(\partial x)(4x^{4y})	\frac{\partial\:}{\partial\:x}(4x^{4y})
integral of (-16cos(2t))	\int\:(-16\cos(2t))dt
integral of ((sin(x))/(cos(x)))	\int\:(\frac{\sin(x)}{\cos(x)})dx
derivative of (sqrt(y-x^2+2)/(x-y))	\frac{d}{dx}(\frac{\sqrt{y-x^{2}+2}}{x-y})
y^'=(y^2+2)/(xy-4y)	y^{\prime\:}=\frac{y^{2}+2}{xy-4y}
(\partial)/(\partial x)(xye^{4y})	\frac{\partial\:}{\partial\:x}(xye^{4y})
tangent of y=x^2+6x-5,\at x=2	tangent\:y=x^{2}+6x-5,\at\:x=2
integral of x^9e^{x^{10}}	\int\:x^{9}e^{x^{10}}dx
(2dy)/(dx)+7y=1	\frac{2dy}{dx}+7y=1

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