Evalute the following integrals int "c...

Evalute the following integrals
`int "cosec"^(4)` xdx

A

`Cotx+ (1)/(3) Cot^(3) x + (2x)/(3) ` + c

B

`Cotx - (1)/(3) Cot^(3)x` + c

C

`Cotx+ (1)/(3) Cot^(3) x` + c

D

`-Cotx- (1)/(3) Cot^(3) x +` + c

Text Solution

Verified by Experts

The correct Answer is:

D

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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - I

int (sinx)/(cos x(1+ cos x))dx= f(x)+ c rArr f(x)=
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If int (x^(2) + 2)/((x^(2) + 1)(x^(2) + 4)) dx = A tan^(-1) x + B t...
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If int x^(3) e^(-x) " dx = " - e^(-x) [ ax^(3) + bx^(2) + cx + d] K t...
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If int x^(3) e^(2) dx = e^(K)l + c then K , l =
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int e^("log "x) cos x dx =
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int x^(2) sin^(2) x dx =
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int xSec^(2) 2x dx =
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If int log(10) xdx = K.xlogf(x) + c then K.f(x) =
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int e^(x) [Secx +log (Secx + tan x)] dx =
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int e^(-x) cosecx (Cotx + 1) dx =
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Evaluate the integerals. int e ^(x) ((1+ x log x)/(x)) dx on (0,o...
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int e^(x) (tan x tan^(2) x ) dx =
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inte^(x)(1-cotx+cot^(2)x)dx=
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int(x+1)^(2)e^(x)dx=
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If I(n) = int sin^(n)x dx, then nI(n)-(n-1)I(n-2)=
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Evalute the following integrals int "cosec"^(4) xdx
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If I(n) = int cos^(n) x dx, then 6I(6) -5I(4) =
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If I(n) = int Cot^(n) xdx then I(4) + I(6) =
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If I(n)=int (t^(n))/(1+t^(2))dt, then I(n-2)=
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If I(n)= int x^(n) e^(ax) then I(n) - (x^(n) e^(ax))/(a ) =
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