Mathematics - Definite Integration Question with Solution | TestHub

MathematicsDefinite IntegrationDefinite Integration by SubstitutionMedium2 minPYQ_2023

MathematicsMediumsingle choice

$\int_{0}^{π /4} cos x e^{s i n x} d x$ is equal to

Options:

Answer:

Solution:

Suppose, $I = \int_{0}^{π /2} cos x e^{s i n x} d x$
Let $sin x = t \Rightarrow cos x d x = d t$
$x \to 0 \Rightarrow t \to 0$
and $x \to \frac{π}{2} \Rightarrow t \to 1$
So $I = \int_{0}^{1} e^{t} d t = [e^{t}]_{0}^{1} = e - 1$

Stream:BITSATSubject:MathematicsTopic:Definite IntegrationSubtopic:Definite Integration by Substitution

⏱ 2mℹ️ Source: PYQ_2023

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