indefinite integrals sums/differences of\nquestion\ncalculate the integral and write the answer in simplest…

indefinite integrals sums/differences of\nquestion\ncalculate the integral and write the answer in simplest form.\n int (6x^{2}-5)dx \nanswer\nattempt 1 out of 2

indefinite integrals sums/differences of\nquestion\ncalculate the integral and write the answer in simplest form.\n int (6x^{2}-5)dx \nanswer\nattempt 1 out of 2

Answer

Answer:

$2x^{3}-5x + C$

Explanation:

Step1: Apply sum - difference rule

$\int(6x^{2}-5)dx=\int6x^{2}dx-\int5dx$

Step2: Use power rule for $\int6x^{2}dx$

$\int6x^{2}dx = 6\times\frac{x^{2 + 1}}{2+1}=2x^{3}$

Step3: Use constant rule for $\int5dx$

$\int5dx=5x$

Step4: Add the constant of integration

$2x^{3}-5x + C$