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int(-pi//2)^(pi//2) x sin x cos x dx=...

`int_(-pi//2)^(pi//2) x sin x cos x dx=`

A

0

B

`(pi)/(2)`

C

`(pi)/(4)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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  10. If int(0)^(1)(1)/(e^(x)+e^(-x))dx = tan^(-1)p, then : p =

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  11. int(0)^(pi//2)(sin 8x.log(cot x))/(cos 2x)dx=

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  12. int(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

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  13. int(0)^(pi)(cos x)/(x^(4)+(pi-x)^(4))dx=

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  14. If I(n)=int(0)^(pi//4)tan^(n)x dx, where n ge 2, then : I(n-2)+I(n)=

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  15. Find the value of int0^1x(1-x)^ndx

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  16. If inta^b x^3dx=0,a n d"I f"inta^b x^2dx=2/3,"f i n dr e a lv a l u...

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  17. Evaluate the following: int0^(pi//4) (sin^2 x \ cos^2 x)/(sin^3x + cos...

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  19. If f(a-x)=f(x) and int(0)^(a//2)f(x)dx=p, then : int(0)^(a)f(x)dx=

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  20. Evaluate: int(-1/2)^(1/2)cosxlog(1-x)/(1+x)dx

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