Evaluate the indefinite integral: ${\int }_{}^{}5x^2+25 dx$

Evaluate the integral. (Use $c$ for the constant of integration.) $\int x{x}^4+16dx$

Evaluate the definite integral if it exists: ${\int }_1^3{x}^2+2x+4 dx$

Evaluate the integral. (Use c for the constant of integration.) ${\int }_{}^{}{\sin }^{-1}\left(x\right)dx$

Find the general indefinite integral. (Use c for the constant of integration.) $8x^{9}dx$

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

Evaluate the indefinite integral: $0.75x^2-16x^2 dx$

Evaluate the indefinite integral: ${\int }_{}^{}\frac{5}{1+x^2}dx$

Evaluate the indefinite integral: ${\int }_{}^{}7x^2+49dx$.