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Chapter 2

Calculus 2 Course in Mathematics for the IIT-JEE and Other Engineering Exams · 4 exercises

Problem 1

$$ \int_{a}^{2 a} f(x) d x=\int_{0}^{a} f(2 a-x) d x $$

3 step solution

Problem 3

$$ \int_{s}^{b} x f(x) d x=\frac{a+b}{2} \int_{\theta}^{b} f(x) d x \text { if } f(a-b-x)=f(x) $$

6 step solution

Problem 4

\(\int_{a}^{b} f(x) d x=\int_{a}^{b} f(a+b-x) d x\)

6 step solution

Problem 5

OR \(\int_{0}^{\pi / 2} \sin ^{n} x \cos ^{n} x d x\)

6 step solution

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