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Popular Calculus Problems

integral of sqrt(x^2)	\int\:\sqrt{x^{2}}dx
derivative of (x^6)/6	derivative\:\frac{x^{6}}{6}
integral of 7e^x	\int\:7e^{x}dx
tangent of f(x)=4x^2+2x,\at x=-2	tangent\:f(x)=4x^{2}+2x,\at\:x=-2
inverse oflaplace 1/(s^2+6s+8)	inverselaplace\:\frac{1}{s^{2}+6s+8}
derivative of (2-x^2/((2+x^2)^2))	\frac{d}{dx}(\frac{2-x^{2}}{(2+x^{2})^{2}})
area-x^2+4x,x^2-2x	area\:-x^{2}+4x,x^{2}-2x
derivative of f(x)=8e^xcos(x)	derivative\:f(x)=8e^{x}\cos(x)
inverse oflaplace s/((s^2+2s+2)(s^2+4))	inverselaplace\:\frac{s}{(s^{2}+2s+2)(s^{2}+4)}
tangent of f(x)=-x^2-4x+1,\at x=-4	tangent\:f(x)=-x^{2}-4x+1,\at\:x=-4
derivative of f(x)=ln(8x)	derivative\:f(x)=\ln(8x)
integral of 8(x+1)	\int\:8(x+1)dx
integral of ((x^5-2x^2))/((1+x^3)^{3/2)}	\int\:\frac{(x^{5}-2x^{2})}{(1+x^{3})^{\frac{3}{2}}}dx
integral of \sqrt[6]{e^x}	\int\:\sqrt[6]{e^{x}}dx
derivative of f(x)= 1/(x+1)	derivative\:f(x)=\frac{1}{x+1}
tangent of f(x)=x^2+4,(-4,20)	tangent\:f(x)=x^{2}+4,(-4,20)
d/(du)(2uv)	\frac{d}{du}(2uv)
derivative of ln\|coth(5x\|)	\frac{d}{dx}(\ln\left\|\coth(5x)\right\|)
y^'+e^yt=e^ysin(t)	y^{\prime\:}+e^{y}t=e^{y}\sin(t)
(\partial)/(\partial x)((ln(x))^2)	\frac{\partial\:}{\partial\:x}((\ln(x))^{2})
(\partial)/(\partial x)(-2cos(4x))	\frac{\partial\:}{\partial\:x}(-2\cos(4x))
integral of x^3-x^2-2x	\int\:x^{3}-x^{2}-2xdx
integral from 0 to 1 of xe^{x^2}-e^x	\int\:_{0}^{1}xe^{x^{2}}-e^{x}dx
integral from 0 to pi of cos^4(x)	\int\:_{0}^{π}\cos^{4}(x)dx
(y^')/x =2x^2-y	\frac{y^{\prime\:}}{x}=2x^{2}-y
derivative of f(x)=-(4x)/((x-2)^3)	derivative\:f(x)=-\frac{4x}{(x-2)^{3}}
derivative of g(t)=sqrt(5-x)	derivative\:g(t)=\sqrt{5-x}
derivative of f(x)= 1/(\sqrt[3]{2x-1)}	derivative\:f(x)=\frac{1}{\sqrt[3]{2x-1}}
derivative of e^{-2x^3}	\frac{d}{dx}(e^{-2x^{3}})
integral of 6xsqrt(3x+1)	\int\:6x\sqrt{3x+1}dx
derivative of (x^2-9/(x-3))	\frac{d}{dx}(\frac{x^{2}-9}{x-3})
(\partial)/(\partial u(v))((e^v)/(u(v)+v^3))	\frac{\partial\:}{\partial\:u(v)}(\frac{e^{v}}{u(v)+v^{3}})
integral from 1 to infinity of 5/(x^2+1)	\int\:_{1}^{\infty\:}\frac{5}{x^{2}+1}dx
sum from n=2 to infinity of ((-1)^n)/n	\sum\:_{n=2}^{\infty\:}\frac{(-1)^{n}}{n}
integral of x^3e^{-2x}	\int\:x^{3}e^{-2x}dx
d/(dj)(12i+15j)	\frac{d}{dj}(12i+15j)
tangent of f(x)=2x^2+5x-1,\at x=-3	tangent\:f(x)=2x^{2}+5x-1,\at\:x=-3
derivative of (4x^2+5(5x+2)^4)	\frac{d}{dx}((4x^{2}+5)(5x+2)^{4})
d/(dt)((t-1)^2)	\frac{d}{dt}((t-1)^{2})
derivative of 3^{cos(x})	\frac{d}{dx}(3^{\cos(x)})
integral of 5/(7+5x)	\int\:\frac{5}{7+5x}dx
derivative of x^2+Ax+B	\frac{d}{dx}(x^{2}+Ax+B)
integral of 2tan^3(x/4)	\int\:2\tan^{3}(\frac{x}{4})dx
limit as n approaches infinity of (1+3/n)^{-n^2}	\lim\:_{n\to\:\infty\:}((1+\frac{3}{n})^{-n^{2}})
integral of 4xe^{4x}	\int\:4xe^{4x}dx
limit as x approaches 0 of ((tan(x)))/x	\lim\:_{x\to\:0}(\frac{(\tan(x))}{x})
d/(dt)(e^{2tsin(2t)})	\frac{d}{dt}(e^{2t\sin(2t)})
derivative of (x^2/8-1/x)	\frac{d}{dx}(\frac{x^{2}}{8}-\frac{1}{x})
sum from n=5 to infinity of n	\sum\:_{n=5}^{\infty\:}n
integral of (x^2+3x+1)/x	\int\:\frac{x^{2}+3x+1}{x}dx
integral of 1/(3x^2+4)	\int\:\frac{1}{3x^{2}+4}dx
tangent of f(x)=-2x^4+10x^2,\at x=-1	tangent\:f(x)=-2x^{4}+10x^{2},\at\:x=-1
derivative of 1-2/(x^2)	\frac{d}{dx}(1-\frac{2}{x^{2}})
integral of x^{100}+x^{99}	\int\:x^{100}+x^{99}dx
(x^2-y^2)dx+2xydy=0	(x^{2}-y^{2})dx+2xydy=0
integral from 0 to 1 of t^3(3+t^4)^3	\int\:_{0}^{1}t^{3}(3+t^{4})^{3}dt
derivative of f(x)=sqrt(12-x)	derivative\:f(x)=\sqrt{12-x}
limit as t approaches 0 of (sin(3t))/t	\lim\:_{t\to\:0}(\frac{\sin(3t)}{t})
tangent of y=3x+6cos(x),(pi/3 ,pi+3)	tangent\:y=3x+6\cos(x),(\frac{π}{3},π+3)
tangent of (x^2-1)/(x^2+x+1)	tangent\:\frac{x^{2}-1}{x^{2}+x+1}
integral of e^x+1	\int\:e^{x}+1dx
integral of x(x^5+3)	\int\:x(x^{5}+3)dx
derivative of y=(x^2+8)^2-4x	derivative\:y=(x^{2}+8)^{2}-4x
(\partial)/(\partial x)(9csc(6x^4-9x+5))	\frac{\partial\:}{\partial\:x}(9\csc(6x^{4}-9x+5))
implicit (dy)/(dx),e^{x/y}=6x-y	implicit\:\frac{dy}{dx},e^{\frac{x}{y}}=6x-y
derivative of 8/((1-2x^3))	\frac{d}{dx}(\frac{8}{(1-2x)^{3}})
derivative of (x^5/(10))	\frac{d}{dx}(\frac{x^{5}}{10})
area y=6-x^2,y=8-3x	area\:y=6-x^{2},y=8-3x
limit as x approaches infinity of 4x+2	\lim\:_{x\to\:\infty\:}(4x+2)
inverse oflaplace ((3s+1))/(s^2(s^2+4))	inverselaplace\:\frac{(3s+1)}{s^{2}(s^{2}+4)}
integral of ln(x)+sin(pix)	\int\:\ln(x)+\sin(πx)dx
inverse oflaplace (2s+3)/((s-7)^4)	inverselaplace\:\frac{2s+3}{(s-7)^{4}}
(3y^2+2x)dx+(6xy+16y^3)dy=0	(3y^{2}+2x)dx+(6xy+16y^{3})dy=0
integral of sin(x)-5cos(x)	\int\:\sin(x)-5\cos(x)dx
y^'-4y=4e^{6t}	y^{\prime\:}-4y=4e^{6t}
integral of x/(sqrt(1-x^4))	\int\:\frac{x}{\sqrt{1-x^{4}}}dx
derivative of sin((pix)^7)	derivative\:\sin((πx)^{7})
(\partial)/(\partial x)(9x+2y)	\frac{\partial\:}{\partial\:x}(9x+2y)
integral of (x-1)^2(x+1)^2	\int\:(x-1)^{2}(x+1)^{2}dx
integral of xsqrt(1+3x^2)	\int\:x\sqrt{1+3x^{2}}dx
simplify 4/(sqrt(1-x))	simplify\:\frac{4}{\sqrt{1-x}}
area y=8x-12,y=x^2,x=1	area\:y=8x-12,y=x^{2},x=1
limit as x approaches 0 of (tan(x))/(2x)	\lim\:_{x\to\:0}(\frac{\tan(x)}{2x})
laplacetransform t+29	laplacetransform\:t+29
d/(dy)(ln(x)+y)	\frac{d}{dy}(\ln(x)+y)
integral of-10e^{-x/2}	\int\:-10e^{-\frac{x}{2}}dx
derivative of sqrt(y)-7y	derivative\:\sqrt{y}-7y
(\partial)/(\partial y)(3x^5tan(y)-2y^3)	\frac{\partial\:}{\partial\:y}(3x^{5}\tan(y)-2y^{3})
integral from 1.5 to 2 of cos((pix)/3)	\int\:_{1.5}^{2}\cos(\frac{πx}{3})dx
y^'+yt=6cos(5t)	y^{\prime\:}+yt=6\cos(5t)
taylor sin(9x)	taylor\:\sin(9x)
derivative of (a+b/(x^2)^3)	\frac{d}{dx}((a+\frac{b}{x^{2}})^{3})
derivative of sin(x)ln(x)	derivative\:\sin(x)\ln(x)
derivative of f(x)=2sin^5(sqrt(x))	derivative\:f(x)=2\sin^{5}(\sqrt{x})
derivative of xsin(x^2)	derivative\:x\sin(x^{2})
y^{''}-4y^'+3y=-e^{-s},y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=-e^{-s},y(0)=0,y^{\prime\:}(0)=0
derivative of arcsec(2x+2)	derivative\:\arcsec(2x+2)
integral of 8sin^4(x)cos^2(x)	\int\:8\sin^{4}(x)\cos^{2}(x)dx
integral of e^{(2x+1)}	\int\:e^{(2x+1)}dx
xy^'-y-3=0	xy^{\prime\:}-y-3=0

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