Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Please verify your account before proceeding.
In this lesson, we will learn how to find the antiderivative of a given function.
Q1:
Find the most general antiderivative πΉ ( π₯ ) of the function π ( π₯ ) = ( π₯ β 3 ) 2 .
Q2:
Determine the most general antiderivative πΉ ( π₯ ) of the function π ( π₯ ) = 6 π₯ + 7 π₯ 1 5 2 5 β .
Q3:
Find, if possible, an antiderivative πΉ of π ( π₯ ) = 1 2 π₯ β 1 that satisfies the conditions πΉ ( 0 ) = 1 and πΉ ( 1 ) = β 1 .
Q4:
Determine the most general antiderivative πΉ ( π₯ ) of the function π ( π₯ ) = β 2 π 2 .
Q5:
If π β² β² ( π₯ ) = 3 π₯ + 3 π₯ + 5 π₯ + 2 5 3 , determine π ( π₯ ) .
Q6:
Determine the most general antiderivative πΉ ( π₯ ) of the function π , given that π ( π₯ ) = 5 2 + 4 π₯ .
Q7:
Determine the antiderivative πΉ of the function π ( π₯ ) = 5 π₯ + 4 π₯ 4 3 where πΉ ( 1 ) = β 2 .
Q8:
Find the most general antiderivative πΉ ( π₯ ) of the function π ( π₯ ) = 2 π₯ β 3 π₯ β π₯ 7 5 2 .
Q9:
Find the most general antiderivative πΉ ( π₯ ) of the function π ( π₯ ) = 4 π₯ β 2 .
Q10:
Find the antiderivative of the function π ( π₯ ) = 2 π₯ + 3 π₯ + 3 2 .
Q11:
Determine the most general antiderivative πΉ ( π₯ ) of the function π ( π₯ ) = β π₯ + 5 β π₯ 3 .
Q12:
Determine the most general antiderivative πΉ ( π₯ ) of the function π ( π₯ ) = 4 π₯ ( β π₯ + 5 ) .
Q13:
By considering the product rule, find a function π so that π β² ( π₯ ) = π β π₯ + 2 π β π₯ π₯ π₯ .
Q14:
Determine the most general antiderivative πΉ ( π₯ ) of the function π if π ( π₯ ) = β 2 π₯ + π₯ β 2 π₯ 2 π₯ 4 3 3 and π₯ > 0 .
Q15:
Find the most general antiderivative πΉ ( π₯ ) of the function π ( π₯ ) = 2 5 π₯ + 2 9 5 π₯ + 5 2 2 .
Q16:
Find the most general antiderivative of the function π ( π₯ ) = 4 π₯ + 3 β 2 3 β π₯ s i n .
Q17:
What is the antiderivative πΉ of π ( π₯ ) = β 5 + οΉ 1 + π₯ ο 2 β 1 that satisfies πΉ ( 1 ) = 0 ?
Q18:
Find the most general antiderivative πΊ ( π‘ ) of the function π ( π‘ ) = β 3 π‘ + 5 π‘ + 4 4 β π‘ ο¨ .
Q19:
Find the most general antiderivative πΊ ( π‘ ) of the function π ( π‘ ) = π‘ β 4 π‘ + 5 β π‘ ο¨ .
Q20:
Determine the most general antiderivative πΉ ( π₯ ) of the function π ( π₯ ) = β 2 β π₯ + 3 π₯ β π₯ 3 2 .
Q21:
Determine the most general antiderivative of the function π ( π ) = β 3 π + 2 π π π t a n s e c .
Donβt have an account? Sign Up
