Integrate the following functions w.r.t. x: e^ ^ -1 x [ x+1-x^2 1… - Vidyadip

Question

Integrate the following functions w.r.t. x:

$e^{\sin ^{-1} x}\left[\frac{x+\sqrt{1-x^2}}{\sqrt{1-x^2}}\right]$

✓

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.(3 Marks)" from Indefinite Integration→Indefinite Integration — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the inverse of $A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$

Using vector method, prove that the median of a triangle are concurrent.

Evaluate the following integrals:$\int\frac{1}{\text{x}\sqrt{4-9(\log\text{x})^2}}\text{ dx}$

Evaluate : $\int_0^\pi \frac{x}{a^2 \cos ^2 x+b^2 \sin ^2 x} d x$

Given $X \sim B(n, p)$. If $E(X)=6$, and $\operatorname{Var}(X)=4.2$, find the value of $n$ and $p$.

If $\vec{\text{a}},\vec{\text{b}}$ are two vectors, then write the truth value of the following statement:$\big|\vec{\text{a}}\big|=\big|\vec{\text{b}}\big|\Rightarrow\vec{\text{a}}=\pm\vec{\text{b}}$

If the angle between the lines represented by $ax^2 + 2hxy + by^2 = 0$ is equal to the angle between the lines $2x^2 − 5xy + 3y^2 = 0$, then show that $100(h^2 − ab) = (a + b)^2$

If $A(5,1, p), B(1, q, p)$ and $C(1,-2,3)$ are vertices of triangle and $G\left(r,-\frac{4}{3}, \frac{1}{3}\right)$ is its centroid then find the values of $p, q$ and $r$

In ∆ABC, if ∠A = 45º, ∠B = 60º then find the ratio of its sides.

A pair of dice is thrown 6 times. If getting a total of 9 is considered a success, what is the probability of at least 5 successes?