admin

Find the indefinite integral

The Correct Answer and Explanation is: The correct answer is: a. (sin⁡(2x)/30)⋅(4−5sin⁡2(2x)+3sin⁡4(2x))+C(\sin(2x)/30) \cdot (4 – 5\sin^2(2x) + 3\sin^4(2x)) + C Explanation: To solve the integral ∫cos⁡3(2x)⋅sin⁡2(2x) dx,\int \cos^3(2x) \cdot \sin^2(2x) \,…

Evaluate the definite integral given below.

The Correct Answer and Explanation is: To evaluate the definite integral ∫24×13(1−2x) dx\int_{2}^{4} x^{\frac{1}{3}} (1 – 2x) \, dx we start by expanding the integrand: x13(1−2x)=x13−2x43x^{\frac{1}{3}} (1 – 2x) = x^{\frac{1}{3}}…