MCQ
Solution of $\int x \sin x d x$ is-
- Axsinx+cosx + c
- B-xcosx+sinx + c
- C$x \sin x-6 \cos x+c$
- Dxcosx+sinx + c
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Statement $-2:$ The functions $x^2e^x$ and $x^2e^{-x}$ are increasing for all $x > 0$ and the sum of two increasing functions in any interval $(a, b)$ is an increasing function in $(a, b).$
$\big[\vec{\text{a}}\vec{\text{b}}\vec{\text{c}}\big]=0$
$\big[\vec{\text{a}}\vec{\text{b}}\vec{\text{c}}\big]=1$
$\big[\vec{\text{a}}\vec{\text{b}}\vec{\text{c}}\big]=3$
$\big[\vec{\text{b}}\vec{\text{c}}\vec{\text{a}}\big]=1$
$(A)$ $P(E)=\frac{4}{5}, P(F)=\frac{3}{5}$
$(B)$ $P(E)=\frac{1}{5}, P(F)=\frac{2}{5}$
$(C)$ $P(E)=\frac{2}{5}, P(F)=\frac{1}{5}$
$(D)$ $P(E)=\frac{3}{5}, P(F)=\frac{4}{5}$