Evaluate the following integral int (c...

Evaluate the following integral
`int (cos 7x - cos 8x )/(1 + 2 cos 5x)` dx

Text Solution

Verified by Experts

The correct Answer is:

`(sin 2x)/(2) - (sin 3x)/(3) + c `

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AAKASH SERIES-INDEFINITE INTEGRALS -ADDITIONAL EXERCISE

Evalute the following integrals int (1)/(n sqrt((x - a)^(n- k) (x - ...
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int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-1)((x^(2)+1)/(x)))=
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int (x^(4)-1)/(x^(2)sqrt(x^(4)+x^(2)+1))dx=
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Evalute the following integrals int (1)/(x^(4) sqrt(x^(2) + 4)) dx
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Evalute the following integrals int (x+ sqrt(x^(2) + 1))^(n) dx
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Evaluate the following integral int (" cos x + x sin x")/(x (x + cos...
03:29
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Evalute the following integral int (sin (x + a))/(sin (x + b)) dx
04:59
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Evaluate the following integral int (cos 5x + cos 4 x)/(1- 2 cos 3x)...
06:35
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Evaluate the following integral int (cos 7x - cos 8x )/(1 + 2 cos 5x...
06:56
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Evalute the following integrals int tan (x - theta) tan x (x + theta...
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Evaluate the following integral int (1)/(sqrt(sin^(3) x sin( x + alp...
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Evalute the following integrals int (sin^(3//2) x + cos^(3//2)x)/(sq...
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Evalute the following integrals int (x^(3m) + x^(2m) + x^(m)) (2x^(2...
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Evalute the following integrals int ((" sin x - cos x"))/(("sin x + ...
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If I(n) = int x^(-n) e^(ax) dx then prove that I(n)=(-e^(ax))/((n-1)x^...
05:42
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show that int (1)/((x^(2) + a^(2))^(3)) dx = (1)/(4a^(2)) (x)/((x^(...
15:49
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