MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Integration by Substitution

Find the inte...

Question

Find the integrals of the functions.
$\int \frac{c o s 2 x + 2 s i n^{2} x}{c o s^{2} x} d x .$

Open in App

Solution

$\int \frac{c o s 2 x + 2 s i n^{2} x}{c o s^{2} x} d x = \int \frac{1 - 2 s i n^{2} x + 2 s i n^{2} x}{c o s^{2} x} d x (∴ c o s 2 x = 1 - 2 s i n^{2} x) = \int \frac{1}{c o s^{2} x} d x = \int s e c^{2} x d x = t a n x + C$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find the integral of the function

\frac{cos 2 x + 2 {sin}^{2} x}{{cos}^{2} x}

\int \frac{cos 2 x + 2 {sin}^{2} x}{{cos}^{2} x} d x

\int \frac{cos 2 x + 2 {sin}^{2} x}{{cos}^{2} x} d x

\int \frac{cos 2 x + 2 {sin}^{2} x}{{cos}^{2} x} d x

\int \frac{cos 2 x + 2 {sin}^{2} x}{{cos}^{2} x} d x

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Integration by Substitution

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Integration by Substitution

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon