Evaluate : _0^ / 2 x- x 1+ x x d x - Vidyadip

Question

Evaluate :

$\int_0^{\pi / 2} \frac{\sin x-\cos x}{1+\sin x \cdot \cos x} \cdot d x$

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(2 Marks)" from Definite Integration→Definite Integration — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $\vec{\text{a}},\vec{\text{b}},\vec{\text{c}}$ represent the sides of a triangle taken in order, then write the value of $\vec{\text{a}}+\vec{\text{b}}+\vec{\text{c}}$.

Let $f(x) = x^5 + 2x – 3$ find $\left(f^{-1}\right)^{\prime}(-3)$

If $\text{A}=\begin{bmatrix}1&-3&2\\2&0&2\end{bmatrix}$ and $\text{B}=\begin{bmatrix}2&-1&-1\\1&0&-1\end{bmatrix},$ find the matrix C such that A + B + C is zeor matrix.

Evaluate the following integrals:
$\int\text{e}^{-2\text{x}}\sin\text{x }\text{dx}$

Evaluate: $\int \frac{d \theta}{\sin \theta+\sin \theta}$

If g (x) is a decreasing function on R and $\text{f}(\text{x})=\tan^{-1}[\text{g}(\text{x})].$ State whether f(x) is increasing or decreasing on R.

Diffrentiate the following w. r. t. x

$\sin ^{-1}\left(2 x \sqrt{1-x^2}\right)$

The inverse of the matrix $\left[\begin{array}{ccc}2 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & -1\end{array}\right]$ is

Diffrentiate the following w.r.t.x

$\log \left[\cos \left(x^3-5\right)\right]$

In $\triangle ABC$ if $c^2+a^2-b^2=a c$, then $\angle B=......$