Mathematics

# Solve $\int { \left( x+2 \right) \left( x-1 \right) } dx$

##### SOLUTION
$\displaystyle\int (x+2)(x-1)\ dx$
$=\displaystyle\int (x^{2}+x-2)\ dx$
$=\dfrac{x^{3}}{3}+\dfrac{x^{2}}{2}-2x+C$      Ans.

Its FREE, you're just one step away

Subjective Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

#### Realted Questions

Q1 Subjective Medium
Evaluate $\displaystyle \int \sqrt {x}\ \log \ x \ dx$ on $(0, \infty)$.

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q2 Assertion & Reason Hard
##### ASSERTION

If $\displaystyle f\left( x \right)=\int _{ 0 }^{ x }{ g\left( t \right) dt }$, where $g$ is an even function and $f\left( x+5 \right) =g\left( x \right)$, then $\displaystyle g\left( 0 \right)-g\left( x \right)=\int _{ 0 }^{ x }{ f\left( t \right)dt }$

##### REASON

$f$ is an odd function.

• A. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• B. Assertion is correct but Reason is incorrect
• C. Both Assertion and Reason are incorrect
• D. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
Evaluate:
$\displaystyle\int \dfrac{1}{n\sqrt{n^3-1}}dx$.

Asked in: Mathematics - Integrals

1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Hard
$\int 32x^3(log x)^2dx$ is equal to.
• A. $8x^4(log x)^2+c$
• B. $x^4{8(log x)^2-4 log x }+c$
• C. $x^3{(log x)^2+2log x}+c$
• D. $x^4({8(log x)^2-4log x+1})+c$

Asked in: Mathematics - Integrals

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