Mathematics

# Solve $\displaystyle\int \dfrac{x^2}{\sqrt{1-x^6}}dx$.

$\dfrac{1}{3}\sin^{-1}(x^3)+c$

##### SOLUTION

Its FREE, you're just one step away

Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 114

#### Realted Questions

Q1 Subjective Medium
Find the following integral.
$\displaystyle\int e^x (\sec^2 x + \tan x).dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Single Correct Medium
Evaluate $\displaystyle \int_{1}^{e}x^{n}\log x.dx$
• A. $\displaystyle \frac{1}{(n+1)^{2}}(\mathrm{e}^{\mathrm{n}+1}+1)$
• B. $\displaystyle \frac{1}{(n+1)^{2}}(\mathrm{n}\mathrm{e}^{\mathrm{n}+1}-1)$
• C. $\displaystyle \frac{1}{(\mathrm{n}+1)^{2}}$
• D. $\displaystyle \frac{1}{(n+1)^{2}}(\mathrm{n}\mathrm{e}^{\mathrm{n}+1}+1)$

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
$\int {\cfrac{{\log \left( {\log n} \right)}}{n}dn}$ equals-

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Find the value of $n$ such that $\displaystyle\int\limits_{-2}^{2} x^n \ dx=0.$

1 Verified Answer | Published on 17th 09, 2020

Q5 Passage Medium
Consider two differentiable functions $f(x), g(x)$ satisfying $\displaystyle 6\int f(x)g(x)dx=x^{6}+3x^{4}+3x^{2}+c$ & $\displaystyle 2 \int \frac {g(x)dx}{f(x)}=x^{2}+c$. where $\displaystyle f(x)>0 \forall x \in R$

On the basis of above information, answer the following questions :

Asked in: Mathematics - Limits and Derivatives

1 Verified Answer | Published on 17th 08, 2020