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Question 4 Calculate the following integrals. (a) $$ \int \pi^x + x^\pi + \pi^2 dx $$ (b) $$ \int \sqrt{x}(x + 2) dx $$ (c) $$ \int \frac{3x^2 + 1}{x} dx $$

Name: question 4 calculate the following integrals a int pix xpi pi2 dx b int sqrtxx 2 dx c int frac3x2 1x dx 66756
Uploaded: 2022-03-02T21:04:30-08:00
Duration: 1 min 44 s
Channel: Gregory Higby
Description: question 4 calculate the following integrals a int pix xpi pi2 dx b int sqrtxx 2 dx c int frac3x2 1x dx 66756

          Question 4 Calculate the following integrals.
(a) $$ \int \pi^x + x^\pi + \pi^2 dx $$
(b) $$ \int \sqrt{x}(x + 2) dx $$
(c) $$ \int \frac{3x^2 + 1}{x} dx $$

$question 4 calculate the following integrals a int pix xpi pi2 dx b int sqrtxx 2 dx c int frac3x2 1x dx 66756$

Added by Mark W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Gregory Higby

03/02/2022

Step 1

Part (a): Calculate $$ \int (\pi^x + x^\pi + \pi^2) dx $$ We can use the linearity of the integral: $$ \int (f(x) + g(x) + h(x)) dx = \int f(x) dx + \int g(x) dx + \int h(x) dx $$ So, $$ \int \pi^x dx + \int x^\pi dx + \int \pi^2 dx $$ For $$ \int \pi^x dx Show more…

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Question 4 Calculate the following integrals. (a) $$ \int \pi^x + x^\pi + \pi^2 dx $$ (b) $$ \int \sqrt{x}(x + 2) dx $$ (c) $$ \int \frac{3x^2 + 1}{x} dx $$