Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
85 views
in Definite Integrals by (45 points)
reopened by
\( \int\left(\frac{\sqrt{x}}{2}+\frac{2}{\sqrt{x}}\right) d x \)

Please log in or register to answer this question.

1 Answer

0 votes
by (48.4k points)

\(\int \left(\frac{\sqrt x}{2} + \frac2{\sqrt x}\right) dx = \frac12 \int \sqrt x dx + 2 \int x^{-\frac12}dx\)

\(= \frac12 \times \frac23 x^{\frac32} + 2 \times 2 x^\frac12 + C\)

\(= \frac13 x^\frac32+ 4 \sqrt x+ C\)

\(= \frac13 x\sqrt x + 4\sqrt x + C\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...