Question

Tìm:

a) \(\int\left(7x^6-4x^3+3x^2\right)dx;\)                   b) \(\int\dfrac{21}{8x}dx;\)

c) \(\int\dfrac{1}{x^4}dx;\)                                            d) \(\int\dfrac{1}{x\sqrt{x}}dx.\)

Answer 1

a) \(\int {\left( {7{x^6} - 4{x^3} + 3{x^2}} \right)} dx = {x^7} - {x^4} + {x^3} + C\)

b) \(\int {\frac{{21}}{{8x}}} dx = \frac{{21}}{8}\ln x + C\)

c) \(\int {\frac{1}{{{x^4}}}} dx = - \frac{1}{{3{x^3}}} + C\)

d) \(\int {\frac{1}{{x\sqrt x }}} dx = \int {{x^{\frac{{ - 3}}{2}}}} dx = - 2{x^{ - \frac{1}{2}}} + C = \frac{{ - 2}}{{\sqrt x }} + C\)