AP EAMCET · Maths · Indefinite Integration
\(\int \cos \sqrt{x} d x\) is equal to
- A \(2 \sqrt{x} \sin \sqrt{x}+2 \cos \sqrt{x}+c\)
- B \(2 \sqrt{x} \sin \sqrt{x}+2 \sin \sqrt{x}+c\)
- C \(2 \sqrt{x} \sin \sqrt{x}-2 \cos \sqrt{x}+c\)
- D \(\sqrt{x} \cos \sqrt{x}-2 \sin \sqrt{x}+c\)
Answer & Solution
Correct Answer
(A) \(2 \sqrt{x} \sin \sqrt{x}+2 \cos \sqrt{x}+c\)
Step-by-step Solution
Detailed explanation
\(\int \cos \sqrt{x} d x\) \(\begin{aligned} & \text { Let } I=\int \cos \sqrt{x} d x \\ & \text { Let } \sqrt{x}=t \\ & x=t^2\end{aligned}\) Differentiating w.r.t ‘x’…
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