JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

F(x)

be the primitive of

\frac{3 x+2}{\sqrt{x-9}}

w.r.t.

x

. If

F(10)=60

, then the value of

F(13)

View answer and explanation

Correct option: B

132

Option B (132) is correct because it is the value of F(13) after finding the primitive F(x) and using the given condition F(10) = 60 to determine the constant of integration.

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\int \sin ^5 x \cos ^4 x d x=

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is differentibale and

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then

f\left(\frac{4}{25}\right)

equals If

\int \frac{1-7 \cos ^2 x}{\sin ^7 x \cos ^2 x} d x=\frac{f(x)}{\sin ^7 x}+C

is equal to If

\int {e}^{{x}^2}\left(2-\frac{1}{{x}^2}\right) {de}={e}^{{x}^2} {f}({x})+{C}

and

{f}\left(\frac{1}{2}\right)=2

, then

f(1)

is equal to (where

{C}

is an arbitrary constant)

\int \frac{x^7}{\left(1-x^2\right)^5} d x

is equal to:

\int \,\frac{{a{x^3} + \,\,b{x^2} + c}}{{{x^4}}}\;\,dx

equals