int sin x sin (cos x)dx...

`int sin x sin (cos x)dx`

Text Solution

Verified by Experts

The correct Answer is:

`cos (cos x)+c`

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Knowledge Check

int sin x/(sin 4x)dx

A

`1/8log |(1+sinx)/(1-sinx)|+1/(4sqrt2)log |(1+sqrt 2sin x)/(1-sqrt2sin x)|+c`

B

`1/8 log |(1-sinx)/(1+sin x)|+1/(4sqrt2)log |(1+sqrt2 sin x)/(1-sqrt2sinx)|+c`

C

`-1/8log |(1+sinx)/(1-sinx)|+1/(4sqrt2)log |(1+sqrt2sin x)/(1-sqrt2 sin x)+c`

D

`-1/8 log |(1+sinx )/(1-sinx)|-1/4sqrt2 log|(1+sqrt2sin x)/(1-sqrt2sinx)|+c`

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CHHAYA PUBLICATION-METHOD OF SUBSTITUTION-EXERCISE 6A (Very Short Answer Type Questions)

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int (e^(a sin^(-1)x))/(sqrt(1-x^(2)))dx
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int x^(3)root(3)(x^(4)-4)dx
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int (x dx)/(sqrt(3x^(2)+4))
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int (tan^(4)sqrt(x)sec^(2)sqrt(x))/(sqrt(x))dx
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intx^(2) cdot root(3)(x^(3)+8)dx
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int (x+ cot x)cot^(2) x dx
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int (xdx)/(sin^(2)(x^(2)))
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int (1+ cot x)/(x+ log sin x)dx
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int e^(x)cos^(2) (e^(x))dx
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int e^((1)/(x))cdot(1)/(x^(2))dx
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