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1
answer
5.7k
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1
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Using Cauchys integral formula ,evaluate $\oint \frac{12z-7}{(z-1)^2(2z+3)}dz$, where c is the circle $|z+i| = \sqrt{3}$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
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1
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5.9k
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1
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$\oint \frac{dz}{z^3(z+4)}$ ,where c is the circle |z|=2.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
6
votes
1
answer
16k
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1
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Evaluate the integral $\int_0^{1+i}(x^2 - iy)dz$ along the path y = x.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
5
votes
1
answer
13k
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1
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Evaluate the integral $\int_0^{1+i}(x - y + ix^2)dz$, along the line from z = 0 to z = 1 + i.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
4
votes
1
answer
23k
views
1
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Evaluate $\oint(z - z^2)dz$ Where C is the upper half of the circle |z|=1.What is the value of the integral for the upper half of the same circle.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
1.5k
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1
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Evaluate $\oint(\bar{z} +2z)dz$, Where C is the unit circle in the Z plane.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
1
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1
answer
7.6k
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1
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Show that $\oint log z dz = 2 \pi i$,Where C is the unit circle in the Z plane.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
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1
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1.9k
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1
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Evaluate $\int \int \int (x + y + z) dx \ dy \ dz$ over the tetrahedron bounded by the planes x = 0, y = 0, z = 0 and x + y + z = 1
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
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1
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840
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1
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Evaluate $\int\int\int \sqrt{1 - \frac{x^2}{a^2} - \frac{y^2}{b^2} - \frac{z^2}{c^2}}$ dx dy dz over the ellipsoid $\frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
1
vote
1
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9.5k
views
1
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Find the volume of the paraboloid $x^2 + y^2 = 4z$ cut off by the plane z = 4
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
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1
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1.1k
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1
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Evaluate $\int\int\int_v x^2 dx \ dy \ dz$ over the volume bounded by the planes $x = 0, y = 0, z = 0 \ and \frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
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1
answer
1.1k
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1
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Find the volume enclosed by the cylinder $y^2 = x \ and\ y = x^2$ Cut off by the planes z = 0, x + y + z =2
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
1
vote
1
answer
15k
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1
answer
Evaluate $\int\int\int x^2 \ y \ z \ dx \ dy \ dz$ over the volume bounded by the planes x = 0, y = 0, z = 0 and $\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
965
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1
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Evaluate$\int^1_0 \int^{1-x}_0 \int^{1-x-y}_0 \frac{1}{(x + y + z +1)^3} dz \ dy \ dx$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
4.8k
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1
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Find the area using double integration where the region of integration is bounded by the curves $9xy = 4$ and $2x + y = 2$.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
5.6k
views
1
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Find the volume of tetrahedron bounded by plane $x = 0, y = 0, z = 0$ and $x + y + z = a.$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
7.5k
views
1
answer
Find volume bounded by cone $z^2 = x^2 + y^2$ and paraboloid $z = x^2$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
10k
views
1
answer
Find the volume bounded by the parabolic $x^2+y^2=az$ and the cylinder $x^2+y^2=a^2$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
1.8k
views
1
answer
Find the area bounded between the parabola. $x^2-ay \ and \ x^2=-4a(y-2a)$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
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1
answer
933
views
1
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Evaluate $\int^1_0 \int^x_{x^2} xy (x + y) dy \ dx$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
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1
answer
3.0k
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1
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Change the order of integration and evaluate
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
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1
answer
1.1k
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1
answer
Find by double integration the area bounded by the parabola
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
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1
answer
873
views
1
answer
Change to polar co-ordinates and evaluate. $\int^1_0 \int^x_0 (x + y ) dy \ dx$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
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1
answer
1.1k
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1
answer
Evaluate Integral :
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
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1
answer
1.1k
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1
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Change the order of the integration of
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
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