(i) int0^a sqrtx/(sqrtx+sqrt(a-x)) dx ...

(i) `int_0^a sqrtx/(sqrtx+sqrt(a-x)) dx`
(ii) `int_0^5 sqrtx/(sqrtx+sqrt(5-x)) dx`
(iii) `int_0^a (dx)/(x+sqrt(a^2+x^2))`

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MODERN PUBLICATION-INTEGRALS-SUB CHAPTER 7.3 EXERCISE 7(p) SHORT ANSWER QUESTION TYPE

int0^(pi/2) sqrt(sinx)/(sqrt(sinx)+sqrt(cosx))dx
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int0^(pi/2)(dx)/(1+sqrt(tanx))=int0^(pi/2)(dx)/(1+sqrt(cotx))=pi/4
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Evaluate the following integral: int0^(pi//2)1/(1+tanx)dx
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Evaluate the following integral: int0^(pi//2)1/(1+cotx)dx
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Evaluate the following integral: int0^(pi//2)1/(1+tan^3x)dx
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int0^(pi/2) sin^(3/2)x/(sin^(3/2)x+cos^(3/2)x)dx
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(i) int0^(pi//2) (sin^3x)/(sin^3x+cos^3x) dx (ii) int0^(pi//2) (cos^...
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(i) int0^a sqrtx/(sqrtx+sqrt(a-x)) dx (ii) int0^5 sqrtx/(sqrtx+sqrt(...
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(i) int0^1 x sqrt(2-x) dx (ii) int0^1 x^2(1-x)^n dx
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Prove that int0^1 x(1-x)^5 dx=1/42
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Prove that int-a^a f(x) dx=0, where 'f' is an odd function. And, evalu...
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