Evaluate the following integrals:(i) ∫23x2dx (ii) ∫49(30−x23)2xdx (iii) ∫12(x+1)(x+2)xdx (iv) ∫04πsin32tcos2tdt

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Evaluate the following integrals:(i) {2}{3}{x}^{{2}}{.{d}{x}.}

Question

Evaluate the following integrals:(i) $\int 23 x^{2} d x$ (ii) $\int 49 \frac{x}{( 30 - x ^{\frac{3}{2}} ) ^{2}} d x$ (iii) $\int 12 \frac{x d x}{( x + 1 ) ( x + 2 )}$ (iv) $\int 0 \frac{π}{4} sin^{3} 2 t cos 2 t d t$

Views: 728 students

Found 6 tutors discussing this question

Sofia Discussed

Evaluate the following integrals:(i)

\int 23 x^{2} d x

(ii)

\int 49 \frac{x}{( 30 - x ^{\frac{3}{2}} ) ^{2}} d x

(iii)

\int 12 \frac{x d x}{( x + 1 ) ( x + 2 )}

(iv)

\int 0 \frac{π}{4} sin^{3} 2 t cos 2 t d t

5 mins ago

Discuss this question LIVE

5 mins ago

Question Text

Evaluate the following integrals:(i)

\int 23 x^{2} d x

(ii)

\int 49 \frac{x}{( 30 - x ^{\frac{3}{2}} ) ^{2}} d x

(iii)

\int 12 \frac{x d x}{( x + 1 ) ( x + 2 )}

(iv)

\int 0 \frac{π}{4} sin^{3} 2 t cos 2 t d t