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Popular Calculus Problems

integral of 5sin^2(r)cos(r)	\int\:5\sin^{2}(r)\cos(r)dr
derivative of x^{2x+1}	derivative\:x^{2x+1}
limit as x approaches 5 of 1/(x-5)	\lim\:_{x\to\:5}(\frac{1}{x-5})
derivative of (ln(x)^x)	\frac{d}{dx}((\ln(x))^{x})
slope ofintercept (3,12),(6,13)	slopeintercept\:(3,12),(6,13)
tangent of y= 1/x	tangent\:y=\frac{1}{x}
integral of (cos(x))/(sqrt(1+sin(x)))	\int\:\frac{\cos(x)}{\sqrt{1+\sin(x)}}dx
integral of sin(2xy)	\int\:\sin(2xy)dx
(\partial)/(\partial z)(x^2yz+1/(xyz^2))	\frac{\partial\:}{\partial\:z}(x^{2}yz+\frac{1}{xyz^{2}})
integral of 1/(sqrt(25x^2+2))	\int\:\frac{1}{\sqrt{25x^{2}+2}}dx
2xyy^'=3y^2+x^2	2xyy^{\prime\:}=3y^{2}+x^{2}
integral of (e^x)/((e^x-4)(e^{2x)+1)}	\int\:\frac{e^{x}}{(e^{x}-4)(e^{2x}+1)}dx
limit as x approaches 1+of \sqrt[3]{x-1}	\lim\:_{x\to\:1+}(\sqrt[3]{x-1})
derivative of sin(3xcos(2x))	\frac{d}{dx}(\sin(3x)\cos(2x))
integral of 1/(x^3-1)	\int\:\frac{1}{x^{3}-1}dx
implicit (dy)/(dx),x^2-y^3=6	implicit\:\frac{dy}{dx},x^{2}-y^{3}=6
integral of cos(x)+1/3 sin(x)-1/(x^2)	\int\:\cos(x)+\frac{1}{3}\sin(x)-\frac{1}{x^{2}}dx
integral from 0 to 2 of e^{2x}	\int\:_{0}^{2}e^{2x}dx
derivative of (2^{x+1}-3.5^x^3)	\frac{d}{dx}((2^{x+1}-3.5^{x})^{3})
(d^3)/(dx^3)(sqrt(1+x^2))	\frac{d^{3}}{dx^{3}}(\sqrt{1+x^{2}})
integral of 5x+sin(x)	\int\:5x+\sin(x)dx
limit as x approaches-4 of x+4	\lim\:_{x\to\:-4}(x+4)
(y+4)((dy)/(dx))=2xy+4y	(y+4)(\frac{dy}{dx})=2xy+4y
(dy)/(dx)=4xe^{2y}	\frac{dy}{dx}=4xe^{2y}
derivative of 1/c	derivative\:\frac{1}{c}
tangent of f(x)=tan(x)+x,\at x= pi/4	tangent\:f(x)=\tan(x)+x,\at\:x=\frac{π}{4}
limit as x approaches-2 of-6	\lim\:_{x\to\:-2}(-6)
derivative of (x^3/((x+1)^2))	\frac{d}{dx}(\frac{x^{3}}{(x+1)^{2}})
integral of 3xsqrt(x+3)	\int\:3x\sqrt{x+3}dx
(\partial)/(\partial v)(sin^2(u))	\frac{\partial\:}{\partial\:v}(\sin^{2}(u))
derivative of (2x-3^4(x^2+x+1)^5)	\frac{d}{dx}((2x-3)^{4}(x^{2}+x+1)^{5})
integral from 0 to 4 of 1/(sqrt(2x+1))	\int\:_{0}^{4}\frac{1}{\sqrt{2x+1}}dx
limit as x approaches-infinity of 9x^3	\lim\:_{x\to\:-\infty\:}(9x^{3})
integral of (p+1)/(p^2+1)	\int\:\frac{p+1}{p^{2}+1}dp
derivative of m/(2pi(a-x))	\frac{d}{dx}(\frac{m}{2π(a-x)})
integral from 0 to 2 of (7t)/((t-3)^2)	\int\:_{0}^{2}\frac{7t}{(t-3)^{2}}dt
derivative of-3sin(x-xcos(x))	\frac{d}{dx}(-3\sin(x)-x\cos(x))
integral from 0 to pi/3 of 1	\int\:_{0}^{\frac{π}{3}}1
derivative of (ln(x)(ln(3x-7)))	\frac{d}{dx}((\ln(x))(\ln(3x-7)))
derivative of f(x)=e^{-7/(x^7)}	derivative\:f(x)=e^{-\frac{7}{x^{7}}}
limit as x approaches infinity of 1+4/x	\lim\:_{x\to\:\infty\:}(1+\frac{4}{x})
(\partial)/(\partial x)(-2e^{-x^2+y}yx)	\frac{\partial\:}{\partial\:x}(-2e^{-x^{2}+y}yx)
area sqrt(x), 1/3 x,16	area\:\sqrt{x},\frac{1}{3}x,16
y^'+y/x =0	y^{\prime\:}+\frac{y}{x}=0
integral of (ln(x+1))/(sqrt(x+1))	\int\:\frac{\ln(x+1)}{\sqrt{x+1}}dx
integral from 0 to 1 of (x^3+1)/(x+1)	\int\:_{0}^{1}\frac{x^{3}+1}{x+1}dx
derivative of ln(1/(1+e^{-x)})	derivative\:\ln(\frac{1}{1+e^{-x}})
derivative of 3xe^{-x}-2x	\frac{d}{dx}(3xe^{-x}-2x)
derivative of (x+sqrt(1+x)/(x^2-1))	\frac{d}{dx}(\frac{x+\sqrt{1+x}}{x^{2}-1})
derivative of 2x+(18/x+1)	\frac{d}{dx}(2x+\frac{18}{x}+1)
integral of (2x^{1/2})	\int\:(2x^{\frac{1}{2}})dx
integral of sin(x)x^2	\int\:\sin(x)x^{2}dx
integral from 1 to 100 of x	\int\:_{1}^{100}xdx
y^{''}-(6/x)y^'-(8/(x^2))y=0	y^{\prime\:\prime\:}-(\frac{6}{x})y^{\prime\:}-(\frac{8}{x^{2}})y=0
limit as x approaches-1 of (x^2+5)/(x+1)	\lim\:_{x\to\:-1}(\frac{x^{2}+5}{x+1})
integral of (x+14)sqrt(28x+x^2)	\int\:(x+14)\sqrt{28x+x^{2}}dx
integral of cos^2(6x)	\int\:\cos^{2}(6x)dx
limit as x approaches infinity of x+x	\lim\:_{x\to\:\infty\:}(x+x)
integral of (5x^2)/(x^4-1)	\int\:\frac{5x^{2}}{x^{4}-1}dx
limit as x approaches 3 of 2/((x-3)^2)	\lim\:_{x\to\:3}(\frac{2}{(x-3)^{2}})
integral of 5e^tsin(2t)	\int\:5e^{t}\sin(2t)dt
limit as x approaches 8 of log_{2}(x)	\lim\:_{x\to\:8}(\log_{2}(x))
derivative of (ln(8^x+5)/(ln(8^{x+1)+5)})	\frac{d}{dx}(\frac{\ln(8^{x}+5)}{\ln(8^{x+1}+5)})
limit as x approaches-3 of x^2+3x	\lim\:_{x\to\:-3}(x^{2}+3x)
integral of ln(4x^2)	\int\:\ln(4x^{2})dx
limit as x approaches (3pi)/2+of tan(x)	\lim\:_{x\to\:\frac{3π}{2}+}(\tan(x))
inverse oflaplace (5s)/((s-2)^2)	inverselaplace\:\frac{5s}{(s-2)^{2}}
taylor x/(1-x^3)	taylor\:\frac{x}{1-x^{3}}
integral of (4e^{3x})/(1+e^{2x)}	\int\:\frac{4e^{3x}}{1+e^{2x}}dx
integral from 0 to 4 of xsqrt(2x+1)	\int\:_{0}^{4}x\sqrt{2x+1}dx
derivative of ((8x^3-4x^2+3))/x	derivative\:\frac{(8x^{3}-4x^{2}+3)}{x}
integral from 1 to 2 of ln(x+1)	\int\:_{1}^{2}\ln(x+1)dx
limit as x approaches-1 of \sqrt[3]{x+1}	\lim\:_{x\to\:-1}(\sqrt[3]{x+1})
integral of (x^7+1)e^{x^8+8x}	\int\:(x^{7}+1)e^{x^{8}+8x}dx
integral of ((e^{-sqrt(x)}))/(sqrt(x))	\int\:\frac{(e^{-\sqrt{x}})}{\sqrt{x}}dx
t(dy)/(dt)=y+4t^2sin(3t)	t\frac{dy}{dt}=y+4t^{2}\sin(3t)
(\partial}{\partial y}(\frac{x+y^2)/z)	\frac{\partial\:}{\partial\:y}(\frac{x+y^{2}}{z})
simplify-2sin(t)cos(t)	simplify\:-2\sin(t)\cos(t)
taylor x^x,1	taylor\:x^{x},1
d/(d{x)}(({x}^2+{y}^2+{z}^2)^{-1/2})	\frac{d}{d{x}}(({x}^{2}+{y}^{2}+{z}^{2})^{-\frac{1}{2}})
integral of 1/((x^2-100)^2)	\int\:\frac{1}{(x^{2}-100)^{2}}dx
integral of (3^{-sqrt(x)})/(sqrt(x))	\int\:\frac{3^{-\sqrt{x}}}{\sqrt{x}}dx
y(x+1)+y^'=0,y(-2)=1	y(x+1)+y^{\prime\:}=0,y(-2)=1
(\partial)/(\partial y)(2x^3y)	\frac{\partial\:}{\partial\:y}(2x^{3}y)
derivative of x^2y+4y	\frac{d}{dx}(x^{2}y+4y)
area x=0,y=0,y=sqrt((-x^2+8)/9)	area\:x=0,y=0,y=\sqrt{\frac{-x^{2}+8}{9}}
limit as θ approaches 0 of θ/(sin(θ))	\lim\:_{θ\to\:0}(\frac{θ}{\sin(θ)})
(dy)/(dx)+y/x =x^2y^2	\frac{dy}{dx}+\frac{y}{x}=x^{2}y^{2}
integral of (4x-7)/(2x^4)	\int\:\frac{4x-7}{2x^{4}}dx
(\partial)/(\partial x)((x-y)(1-xy))	\frac{\partial\:}{\partial\:x}((x-y)(1-xy))
derivative of 7\sqrt[4]{x}	derivative\:7\sqrt[4]{x}
integral from 0 to 1 of 1/(x^2+1)	\int\:_{0}^{1}\frac{1}{x^{2}+1}dx
integral of sqrt(2/(2-x^2))	\int\:\sqrt{\frac{2}{2-x^{2}}}dx
integral of (sin(x))/(cos^4(x))	\int\:\frac{\sin(x)}{\cos^{4}(x)}dx
derivative of (5x)/((1+x^2))	derivative\:\frac{5x}{(1+x^{2})}
tangent of 2x^3+3x^2-12x+4	tangent\:2x^{3}+3x^{2}-12x+4
(\partial)/(\partial x)(x^2*y+(xe^x)/(y^3))	\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:y+\frac{xe^{x}}{y^{3}})
integral of 1/(3+2x^2)	\int\:\frac{1}{3+2x^{2}}dx
integral of (2)	\int\:(2)dx
integral of (tan(x)+cot(x))	\int\:(\tan(x)+\cot(x))dx

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