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The value of the integral int (cos^3x+co...

The value of the integral `int (cos^3x+cos^5 x)/(sin^2 x+sin^4 x) dx` is (A) `sin x-6tan^(-1) (sin x)+C` (B) `sin x-2 (sin x)^(-1)+C` (C) `sin x-2 (sin x)^(-1)-6tan^(-1) (sin x)+C` (D) `sin x-2 (sin x)^(-1)+5tan^(-1) (sin x)+C`

A

`sinx-6tan^(-1)(sinx)+C`

B

`sinx-2(sinx)^(-1)+C`

C

`sinx-2(sinx)^(-1)6tan^(-1)(sinx)+C`

D

`sinx-2(sinx)^(-1)+5tan^(-1)(sinx)+C`

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The correct Answer is:
c
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OBJECTIVE RD SHARMA-INDEFINITE INTEGRALS-Chapter Test
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  2. If int(xe^x)/sqrt(1+e^x)dx=f(x)sqrt(1+e^x)-2logg(x)+c, then

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  3. The value of the integral int (cos^3x+cos^5 x)/(sin^2 x+sin^4 x) dx is...

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  4. If int(1)/((x^(2)+1)(x^(2)+4))dx=Atan^(-1)x+B" tan"^(-1)(x)/(2)+C , t...

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  5. If int log(sqrt(1-x)+sqrt(1+x))dx=xf(x)+Ax+Bsin^(-1)x+C, then

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  6. If int(x^(5))/(sqrt(1+x^(3)))dx is equal to

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  7. The value of inte^(secx)*sec^3x(sin^2x+cosx+sinx+sinxcosx)dx is

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  8. int(2x^(2)+3)/((x^(2)-1)(x^(2)+4))dx=alog((x+1)/(x-1))+b"tan"^(-1)(x)/...

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  9. Let f(x)=x/((1+x^n)^(1/ n)) for ngeq2 and g(x)=(f(ofo ...of)(x) Then ...

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  10. The value of int((ax^2-b)dx)/(xsqrt(c^2x^2-(ax^2+b)^2)) is equal to

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  11. Evaluate: inte^x(1+n x^(n-1)-x^(2n))/((1-x^n)sqrt(1-x^(2n)))dx

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  12. int(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2)))dx

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  13. int(x^(3))/((1+x^(2))^(1//3))dx is equal to

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  14. int sinx/sin(x-alpha)dx=Ax+B log (sin(x-alpha))+C then find out A & B

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  15. What is int (x^(4) -1)/(x^(2) sqrt(x^(4) + x^(2) + 1)) dx equal to ?

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  16. int(x-1)/((x+1)sqrt(x^(3)+x^(2)+x))dx is equal to

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  17. int(1+x^(2))/(xsqrt(1+x^(4)))dx is equal to

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  18. int(1+x^(4))/((1-x^(4))^(3//2))dx is equal to

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  19. If int(1)/(x^(3)+x^(4))dx=(A)/(x^(2))+(B)/(x)+log|(x)/(x+1)|+C , then

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  20. Let f(x)=int(1)/((1+x^(2))^(3//2))dx and f(0)=0 then f(1)=

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