Definite Integrals
Trending Questions
The velocity v and displacement x of a particle executing simple harmonic motion are related as
vdvdx=−ω2x
At x=0, v=v0. Find the velocity v when the displacement becomes x.
None of these
- π33−1
- π33
- π33+1
- \N
Question:You are given a rod of length 'L'. The linear mass density as ′λ′. λ=a+bx. Here a & b are constants and the mass of the rod increases as x increases. Find the mass of the rod.
None of these
- e2−1
- e2+ln 52
- e2−1+ln 52
- e2−ln 52+1
How do you find the radius of convergence of a power series?
Can I differentiate any other function to get 3x2?
yes
No
Where should the tank be punctured so that water coming out has maximum horizontal range?
y=h2
y=h3
y=h4
None of these
i. ∫π20(sin x + cos x)dx
ii. ∫10(3x2+4)dx
iii. ∫10(3e3x+e−x)dx
- i. 0; ii. 5; iii. e4−1e
- i. 0; ii. 5; iii. e3−1
- i. 2; ii. 5; iii. e3−1
- i. 2; ii. 5; iii. e4−1e
- 26 m
- 263 m
- 307 m
- 267 m
∫100sec2(3x+6)dx
13tan(36o)
13tan(6o)
13tan(30o)
None of these
- t3+2t+1
- t3+t+1
- t3+t2+t
- t3+t2+t+1
Solve the integral I = ∫π0sin2xdx
π
π2
3π2
0
- 30 m/s
- 39 m/s
- 3 m/s
- 20 m/s
- 0
- 12
- 1
- 14
- GMmR
- −GMmR
- −GMmR2
- −GMmR2
You are given a rod of length 'L'. The linear mass density varies as λ′. λ=a+bx. Here a & b are constants and the mass of the rod increases as x increases. Find the mass of the rod.
aL2
aL+bL22
L2(a+b)2
None of these
- GMmR
- −GMm2R
- −GMmR
- −GMmR2
Find the area enclosed by the curve y=x2 and the x-axis for interval x = 1 to x = 3.
9 sq. units
263 sq. units
27.2 sq. units
10 sq. units