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Recent questions tagged integrals
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GATE2016-2-26
A scalar potential $\varphi$ has the following gradient: $\bigtriangledown \varphi =yz\hat{i}+xz\hat{j}+xy\hat{k}$ . Consider the integral $\int_{c}^{ }\bigtriangledown \varphi .d\overrightarrow{r}$ on the curve $\overrightarrow{r}=x\hat{i}+y\hat{j}+z\hat{k}$. The curve $C$ ... . The value of the integral is ________
Arjun
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in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set2
numerical-answers
calculus
integrals
vector-identities
0
answers
0
votes
GATE2015-2-27
The surface integral $\displaystyle{} \int \int_{s}^{ }\dfrac{1}{\pi }(9xi-3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set2
numerical-answers
calculus
integrals
area-under-curve
0
answers
0
votes
GATE ME 2013 | Question: 26
The following surface integral is to be evaluated over a sphere for the given steady velocity vector field $F$ = $xi$ + $yj$+ $zk$ defined with respect to a Cartesian coordinate system having $i$, $j$ and $k$ ... is the outward unit normal vector to the sphere. The value of the surface integral is $\pi$ $2\pi$ $3\pi/4$ $4\pi$
piyag476
asked
in
Calculus
Feb 19, 2017
by
piyag476
1.4k
points
gateme-2013
calculus
integrals
area-under-curve
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