First slide

Evaluation of definite integrals

Question

$\int_{- 1}^{1} (x^{27} C o s x + e^{x}) d x =$

Moderate

A

0
B

1
C

$e + \frac{1}{e}$
D

$e - \frac{1}{e}$

Solution

$\int_{- 1}^{1} (x^{27} C o s x + e^{x}) d x = 0 + \int_{- 1}^{1} (e^{x}) d x = {[e^{x}]}^{1}_{- 1} = e - \frac{1}{e}$ $(\sin c e x^{27} \cos x i s o d d f u n c t i o n)$

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