Write true or false if statement is wrong write the true sta - Maths (commerce) STD 12 Commerce / Arts Questions

Questions

Write true or false if statement is wrong write the true statement.

5 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark

For $\int \frac{x-1}{(x+1)^3} e^x d x= e ^{ x } f ( x )+ C _l f ( x )=( x +1)^2$.

Answer

false

Question 21 Mark

If $\int \frac{(x-1) d x}{(x+1)(x-2)}= A \log | x +1|+ B \log | x -2|$, then $A + B =1$.

Answer

true

Question 31 Mark

If $\int x f(x) d x=\frac{f(x)}{2}$, then $f(x)=e^{x^2}$.

Answer

true

Question 41 Mark

If $\int x e ^{2 x } dx$ is equal to $e ^{2 x } f ( x )+ c$ where $c$ is constant of integration, then $f(x)$ is $\frac{(2 x-1)}{2}$.

Answer

false

Question 51 Mark

The proper substitution for $\int x\left(x^x\right)^x(2 \log x+1) d x$ is $\left(x^x\right)^x=t$

Answer

true

Write true or false if statement is wrong write the true sta - Maths (commerce) STD 12 Commerce / Arts Questions - Vidyadip