23–68. Indefinite integrals Determine the following indefinite integrals. Check your work by differentiation.




∫ (3x⁵ - 5x⁹) dx

Evaluate the integral: ${\int }_0^{\frac{\pi }{2}}9{\cos }^2\left(x\right) dx$.

Evaluate the integral. (Use c for the constant of integration.) $\int 9{\sin }^2\left(x\right){\cos }^3\left(x\right) dx$

Evaluate the indefinite integral: $\int 9x^2(a^2-x^2)dx$

Evaluate the indefinite integral as a power series: $\int \frac{1}{1-t^7} dt$.

23–68. Indefinite integrals Determine the following indefinite integrals. Check your work by differentiation.

∫ (4√x - (4 /√x)) dx

Evaluating integrals Evaluate the following integrals.                                                                                                                                         

 ∫ (9𝓍⁸―7𝓍⁶) d𝓍

23–68. Indefinite integrals Determine the following indefinite integrals. Check your work by differentiation.

∫ (5s + 3)² ds

23–68. Indefinite integrals Determine the following indefinite integrals. Check your work by differentiation.

∫ (3x ¹⸍³ + 4x ⁻¹⸍³ + 6) dx