Question

Find the integral 1/50 ? x / ?(x^2 + 51) dx. a. 1/50 ?(x^2 - 51) + c b. 1/50 ?(x^2 + 51) + c c. 1/50 ?(50x^2 + 51) + c d. No correct answer e. 1/50 ?(51x^2 - 51) + c

          Find the integral 1/50 ? x / ?(x^2 + 51) dx.

a. 1/50 ?(x^2 - 51) + c
b. 1/50 ?(x^2 + 51) + c
c. 1/50 ?(50x^2 + 51) + c
d. No correct answer
e. 1/50 ?(51x^2 - 51) + c

Added by Brian W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/27/2023

Step 1

The given integral is: $$\int \frac{50}{x^2 + 51} dx$$ Now, we can use the substitution method to solve this integral. Let's set: $$u = x^2 + 51$$ $$\frac{du}{dx} = 2x$$ Now, we can rewrite the integral in terms of $u$: $$\int \frac{50}{u} \frac{du}{2x}$$ We Show more…

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Find the integral 1/50 integral (x / sqrt(x^2 + 51)) dx. a. 1/50 sqrt(x^2 - 51) + c b. 1/50 sqrt(x^2 + 51) + c c. 1/50 sqrt(50x^2 + 51) + c d. No correct answer e. 1/50 sqrt(51x^2 - 51) + c