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Evaluate : int(0)^(pi) (dx)/(5+4cosx) ....

Evaluate : `int_(0)^(pi) (dx)/(5+4cosx)` . a)` π` b)` π/2` c)` π/3` d)` π/4`

A

π

B

π/2

C

π/3

D

π/4

Text Solution

Verified by Experts

The correct Answer is:
`(pi^(2))/(16)`
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RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem
  1. Evaluate : int(-1)^(1)e^(x)dx

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  2. Evaluate : int(0)^(pi) (dx)/(5+4cosx)

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  3. Evaluate : int(0)^(pi) (dx)/(5+4cosx) . a) π b) π/2 c) π/3 d) π/4

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  4. Evaluate : (i) int(-1)^(2){2x}dx (where function{*} denotes fraction...

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  5. It is known that f(x) is an odd function and has a period p. Prove tha...

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  6. (i) If f(x) = int(0)^(sin^(2)x)sin^(-1)sqrt(t)dt+int(0)^(cos^(2)x)cos^...

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  7. If y = int(1)^(x) xsqrt(lnt)dt then find the value of (d^(2)y)/(dx^(...

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  8. lim(n to oo)(int(1//(n+1))^(1//n)tan^(-1)(nx)dt)/(int(1//(n+1))^(1//n)...

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  9. Let f be a differentiable function on R and satisfying the integral eq...

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  10. Evaluate : int(0)^(2)x^(3//2)sqrt(2-x)dx.

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  11. Prove the following inequalities : (i) (sqrt(3))/(8) lt int(pi//4)^(...

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  12. Show that (i) (1)/(10sqrt(2))lt underset(0)overset(1)int(x^(9))/(sq...

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  13. If In=int0^(pi//4)tan^("n")x dx , prove that In+I(n-2)=1/(n+1)dot

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  14. Find the area enclosed betweent the curve y = x^(2)+3, y = 0, x = -...

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  15. int sinx dx

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  16. Find the area of the region bounded by the curve y^2=2y-x and the y-ax...

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  17. Find the area bounded by the y-axis and the curve x = e^(y) sin piy b...

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  18. The area bounded by (x^(2))/(16) + (y^(2))/(9) = 1 and the line 3x + 4...

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  19. Compute the area of the figure bounded by the straight lines x=0,x=2...

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  20. If the area bounded by f(x)=sqrt(tan x), y=f(c), x=0 and x=a, 0ltcltal...

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