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int- 1^1x^(17)cos^4x dx=0...

`int_- 1^1x^(17)cos^4x dx=0`

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int_(-1)^(1)x^(17)cos^(4)xdx=0

Prove that int_(-1)^(1)x^(17)cos^(4)xdx=0

int_(-1)^(1)x^(17)cos^(4) x dx is equal to

(i) int_-8^8 (sin^93 x+x^295) dx (ii) int_-1^1 sin^5x cos^4x dx (iii) int_(-pi//4)^(pi//4) x^3 sin^4 x dx (iv) int_-1^1 x^17 cos^4 x dx

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int 1/(sin^2x cos^4x)dx

int_(-1)^(1)(sin x)^(5)(cos x)^(4)dx=

int(1)/(1-cos^(4)x)dx